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Simplifying 2(w + 12) + 2w = 92 Reorder the terms: 2(12 + w) + 2w = 92 (12 * 2 + w * 2) + 2w = 92 (24 + 2w) + 2w = 92 Combine like terms: 2w + 2w = 4w 24 + 4w = 92 Solving 24 + 4w = 92 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4w = 92 + -24 Combine like terms: 24 + -24 = 0 0 + 4w = 92 + -24 4w = 92 + -24 Combine like terms: 92 + -24 = 68 4w = 68 Divide each side by '4'. w = 17 Simplifying w = 17
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