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Simplifying 172 = 2(w) + 2(w + 24) Reorder the terms: 172 = 2w + 2(24 + w) 172 = 2w + (24 * 2 + w * 2) 172 = 2w + (48 + 2w) Reorder the terms: 172 = 48 + 2w + 2w Combine like terms: 2w + 2w = 4w 172 = 48 + 4w Solving 172 = 48 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 172 + -4w = 48 + 4w + -4w Combine like terms: 4w + -4w = 0 172 + -4w = 48 + 0 172 + -4w = 48 Add '-172' to each side of the equation. 172 + -172 + -4w = 48 + -172 Combine like terms: 172 + -172 = 0 0 + -4w = 48 + -172 -4w = 48 + -172 Combine like terms: 48 + -172 = -124 -4w = -124 Divide each side by '-4'. w = 31 Simplifying w = 31
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