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Simplifying 256 = 2(16 + w) + 2w 256 = (16 * 2 + w * 2) + 2w 256 = (32 + 2w) + 2w Combine like terms: 2w + 2w = 4w 256 = 32 + 4w Solving 256 = 32 + 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. 256 + -4w = 32 + 4w + -4w Combine like terms: 4w + -4w = 0 256 + -4w = 32 + 0 256 + -4w = 32 Add '-256' to each side of the equation. 256 + -256 + -4w = 32 + -256 Combine like terms: 256 + -256 = 0 0 + -4w = 32 + -256 -4w = 32 + -256 Combine like terms: 32 + -256 = -224 -4w = -224 Divide each side by '-4'. w = 56 Simplifying w = 56
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