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Simplifying 500 = 2(60 + w) + 2w 500 = (60 * 2 + w * 2) + 2w 500 = (120 + 2w) + 2w Combine like terms: 2w + 2w = 4w 500 = 120 + 4w Solving 500 = 120 + 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. 500 + -4w = 120 + 4w + -4w Combine like terms: 4w + -4w = 0 500 + -4w = 120 + 0 500 + -4w = 120 Add '-500' to each side of the equation. 500 + -500 + -4w = 120 + -500 Combine like terms: 500 + -500 = 0 0 + -4w = 120 + -500 -4w = 120 + -500 Combine like terms: 120 + -500 = -380 -4w = -380 Divide each side by '-4'. w = 95 Simplifying w = 95
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