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Simplifying 2(w + 5) + w = 32 Reorder the terms: 2(5 + w) + w = 32 (5 * 2 + w * 2) + w = 32 (10 + 2w) + w = 32 Combine like terms: 2w + w = 3w 10 + 3w = 32 Solving 10 + 3w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3w = 32 + -10 Combine like terms: 10 + -10 = 0 0 + 3w = 32 + -10 3w = 32 + -10 Combine like terms: 32 + -10 = 22 3w = 22 Divide each side by '3'. w = 7.333333333 Simplifying w = 7.333333333
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