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Simplifying 460 = 2(w + 30) + 2w Reorder the terms: 460 = 2(30 + w) + 2w 460 = (30 * 2 + w * 2) + 2w 460 = (60 + 2w) + 2w Combine like terms: 2w + 2w = 4w 460 = 60 + 4w Solving 460 = 60 + 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. 460 + -4w = 60 + 4w + -4w Combine like terms: 4w + -4w = 0 460 + -4w = 60 + 0 460 + -4w = 60 Add '-460' to each side of the equation. 460 + -460 + -4w = 60 + -460 Combine like terms: 460 + -460 = 0 0 + -4w = 60 + -460 -4w = 60 + -460 Combine like terms: 60 + -460 = -400 -4w = -400 Divide each side by '-4'. w = 100 Simplifying w = 100
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