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Simplifying 32 = 5w + 7 + 36w + -16 Reorder the terms: 32 = 7 + -16 + 5w + 36w Combine like terms: 7 + -16 = -9 32 = -9 + 5w + 36w Combine like terms: 5w + 36w = 41w 32 = -9 + 41w Solving 32 = -9 + 41w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-41w' to each side of the equation. 32 + -41w = -9 + 41w + -41w Combine like terms: 41w + -41w = 0 32 + -41w = -9 + 0 32 + -41w = -9 Add '-32' to each side of the equation. 32 + -32 + -41w = -9 + -32 Combine like terms: 32 + -32 = 0 0 + -41w = -9 + -32 -41w = -9 + -32 Combine like terms: -9 + -32 = -41 -41w = -41 Divide each side by '-41'. w = 1 Simplifying w = 1
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