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Simplifying 2(16 + w) + 2w = 256 (16 * 2 + w * 2) + 2w = 256 (32 + 2w) + 2w = 256 Combine like terms: 2w + 2w = 4w 32 + 4w = 256 Solving 32 + 4w = 256 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 4w = 256 + -32 Combine like terms: 32 + -32 = 0 0 + 4w = 256 + -32 4w = 256 + -32 Combine like terms: 256 + -32 = 224 4w = 224 Divide each side by '4'. w = 56 Simplifying w = 56
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