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Simplifying w * 2 + (w + 30) * 2 = 460 Reorder the terms for easier multiplication: 2w + (w + 30) * 2 = 460 Reorder the terms: 2w + (30 + w) * 2 = 460 Reorder the terms for easier multiplication: 2w + 2(30 + w) = 460 2w + (30 * 2 + w * 2) = 460 2w + (60 + 2w) = 460 Reorder the terms: 60 + 2w + 2w = 460 Combine like terms: 2w + 2w = 4w 60 + 4w = 460 Solving 60 + 4w = 460 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 4w = 460 + -60 Combine like terms: 60 + -60 = 0 0 + 4w = 460 + -60 4w = 460 + -60 Combine like terms: 460 + -60 = 400 4w = 400 Divide each side by '4'. w = 100 Simplifying w = 100
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