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