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Simplifying 160 = 2(w + 5) + 2(w + 15) Reorder the terms: 160 = 2(5 + w) + 2(w + 15) 160 = (5 * 2 + w * 2) + 2(w + 15) 160 = (10 + 2w) + 2(w + 15) Reorder the terms: 160 = 10 + 2w + 2(15 + w) 160 = 10 + 2w + (15 * 2 + w * 2) 160 = 10 + 2w + (30 + 2w) Reorder the terms: 160 = 10 + 30 + 2w + 2w Combine like terms: 10 + 30 = 40 160 = 40 + 2w + 2w Combine like terms: 2w + 2w = 4w 160 = 40 + 4w Solving 160 = 40 + 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. 160 + -4w = 40 + 4w + -4w Combine like terms: 4w + -4w = 0 160 + -4w = 40 + 0 160 + -4w = 40 Add '-160' to each side of the equation. 160 + -160 + -4w = 40 + -160 Combine like terms: 160 + -160 = 0 0 + -4w = 40 + -160 -4w = 40 + -160 Combine like terms: 40 + -160 = -120 -4w = -120 Divide each side by '-4'. w = 30 Simplifying w = 30
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