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Wow this is really cool! I’m a novice with math proofs and only did for engineering. What kind of proof is this? It’s just a straight-up direct proof. You start with a statement you know to be true. Then you follow a series of steps that are logically sound. Then you arrive at your conclusion. The trick is knowing the Junenth Stepping Into Junenth Like My Ancestors shirt but in fact I love this right “clever” step to stick in the middle. Things like adding 0 to something by using (+1-1) or multiplying by 1 by using some fraction that cancels out are common tricks to achieve this. If you liked this proof you might like more advanced algebra! This proof might feel pretty basic, but the concepts used in this proof(0a=0, 1a=a, associativity, commutativity and distributivity) are essential to grasp there Removing 36 dollars of debt once (-36) x (-1) is the same as straight up giving you 36 dollars. Removing it twice, thrice or six times etc is the same principle.
Junenth Stepping Into Junenth Like My Ancestors shirt, hoodie, tank top, sweater and long sleeve t-shirt
Removing 36 dollars of debt should be -36 * 0. That’s “removing the Junenth Stepping Into Junenth Like My Ancestors shirt but in fact I love this debt.” If you do -36 * -1 you’re inverting the debt. Not only is my debt gone, but I’m sitting on an extra $36 now. It’s $72 different from where I was, not $36 different. If I’m $36 in debt and you give me $36, my net is zero. The comparable operation would be something more like this: We’re not saying, the balance started at -36, then we remove 36 dollars of debt, so new balance = -36 * -1 = 36. That’s not how this works. That doesn’t really work. If I’m 36 Dollar in debt and you give me 36 dollar I’m at 0 dollar. But (-36)x(-1)=+36. You are +36$ compared to your previous state. It describes how removing debt equals to giving money in this case. Consider a number line. You were at the position -36, then someone took away all the debt, bringing you to the position 0. You’ve moved 36 units to the right. You are not, you only received 36$. The transaction can be desribed as -36$ (a debt) and -(-36$) meaning you removed the debt. The result is you got 36 dollars. (So you are at 0$, but compared to -36, you have 36$ more) 6 × 6 means you are adding 6 six times, which gives you 36. 6 x -6 means you are adding -6 six times, which also means you are subtracting 6 six times, which gives you -36.
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| Size | Length | Chest |
|---|---|---|
| S | 28in | 18in |
| M | 29in | 20in |
| L | 30in | 22in |
| XL | 31in | 24in |
| 2XL | 32in | 26in |
| 3XL | 33in | 28in |
| 4XL | 34in | 30in |
| 5XL | 35in | 32in |
| Size | Length | Chest |
|---|---|---|
| S | 25in | 16in |
| M | 26in | 17in |
| L | 26.5in | 18in |
| XL | 27in | 19.7in |
| 2XL | 27.9in | 21.6in |
| 3XL | 28.5in | 22.7in |
| Size | Length | Chest |
|---|---|---|
| S | 28in | 18in |
| M | 29in | 20in |
| L | 30in | 22in |
| XL | 31in | 24in |
| 2XL | 32in | 26in |
| 3XL | 33in | 28in |
| Size | Length | Chest | Sleeve |
|---|---|---|---|
| S | 26in | 20in | 33.5in |
| M | 27in | 22in | 34.5in |
| L | 28in | 24in | 35.5in |
| XL | 29in | 26in | 36.5in |
| 2XL | 30in | 28in | 37.5in |
| 3XL | 31in | 30in | 38.5in |
| 4XL | 32in | 32in | 38.5in |
| 3XL | 34in | 33in | 38.5in |
| Size | Length | Chest |
|---|---|---|
| S | 27in | 18in |
| M | 28in | 20in |
| L | 29in | 22in |
| XL | 30in | 24in |
| 2XL | 31in | 26in |
| Size | Length | Chest | Sleeve |
|---|---|---|---|
| S | 28in | 18in | 33.5in |
| M | 29in | 20in | 35in |
| L | 30in | 23in | 36.5in |
| XL | 31in | 24in | 38in |
| 2XL | 32in | 26in | 39.5in |
| 3XL | 33in | 28in | 39.5in |
| Size | Length | Chest | Sleeve |
|---|---|---|---|
| S | 27in | 20in | 34.5in |
| M | 28in | 22in | 35.5in |
| L | 29in | 24in | 36.5in |
| XL | 30in | 26in | 37.5in |
| 2XL | 31in | 28in | 38.5in |
| 3XL | 32in | 30in | 39in |
| 4XL | 33in | 32in | 39.5in |
| 5XL | 34in | 34in | 40in |
| Size | Youth Size | Length | Chest |
|---|---|---|---|
| S | 6-8 | 20.5in | 16in |
| M | 10-12 | 22in | 17in |
| L | 14-16 | 23.5in | 18in |
| XL | 18-20 | 25in | 19in |
| Size | Youth Size | Length | Chest |
|---|---|---|---|
| S | 6-8 | 21in | 17in |
| M | 10-12 | 22.5in | 18in |
| L | 14-16 | 24in | 19in |
| XL | 18-20 | 25.5in | 20in |
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