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Simplifying 2(w + 18) + 2w = 72 Reorder the terms: 2(18 + w) + 2w = 72 (18 * 2 + w * 2) + 2w = 72 (36 + 2w) + 2w = 72 Combine like terms: 2w + 2w = 4w 36 + 4w = 72 Solving 36 + 4w = 72 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 4w = 72 + -36 Combine like terms: 36 + -36 = 0 0 + 4w = 72 + -36 4w = 72 + -36 Combine like terms: 72 + -36 = 36 4w = 36 Divide each side by '4'. w = 9 Simplifying w = 9
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