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Simplifying 2(w + 10) + 2w = 112 Reorder the terms: 2(10 + w) + 2w = 112 (10 * 2 + w * 2) + 2w = 112 (20 + 2w) + 2w = 112 Combine like terms: 2w + 2w = 4w 20 + 4w = 112 Solving 20 + 4w = 112 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 4w = 112 + -20 Combine like terms: 20 + -20 = 0 0 + 4w = 112 + -20 4w = 112 + -20 Combine like terms: 112 + -20 = 92 4w = 92 Divide each side by '4'. w = 23 Simplifying w = 23
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