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Simplifying 200 = 2(8 + w) + 2(w) 200 = (8 * 2 + w * 2) + 2(w) 200 = (16 + 2w) + 2(w) Combine like terms: 2w + 2w = 4w 200 = 16 + 4w Solving 200 = 16 + 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. 200 + -4w = 16 + 4w + -4w Combine like terms: 4w + -4w = 0 200 + -4w = 16 + 0 200 + -4w = 16 Add '-200' to each side of the equation. 200 + -200 + -4w = 16 + -200 Combine like terms: 200 + -200 = 0 0 + -4w = 16 + -200 -4w = 16 + -200 Combine like terms: 16 + -200 = -184 -4w = -184 Divide each side by '-4'. w = 46 Simplifying w = 46
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