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Simplifying 2w + 2(w + 8) = 256 Reorder the terms: 2w + 2(8 + w) = 256 2w + (8 * 2 + w * 2) = 256 2w + (16 + 2w) = 256 Reorder the terms: 16 + 2w + 2w = 256 Combine like terms: 2w + 2w = 4w 16 + 4w = 256 Solving 16 + 4w = 256 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 4w = 256 + -16 Combine like terms: 16 + -16 = 0 0 + 4w = 256 + -16 4w = 256 + -16 Combine like terms: 256 + -16 = 240 4w = 240 Divide each side by '4'. w = 60 Simplifying w = 60
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