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Simplifying 5(w + 7) + -8w = 32 Reorder the terms: 5(7 + w) + -8w = 32 (7 * 5 + w * 5) + -8w = 32 (35 + 5w) + -8w = 32 Combine like terms: 5w + -8w = -3w 35 + -3w = 32 Solving 35 + -3w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -3w = 32 + -35 Combine like terms: 35 + -35 = 0 0 + -3w = 32 + -35 -3w = 32 + -35 Combine like terms: 32 + -35 = -3 -3w = -3 Divide each side by '-3'. w = 1 Simplifying w = 1
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