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Simplifying 32 = -5w + 3(w + 6) Reorder the terms: 32 = -5w + 3(6 + w) 32 = -5w + (6 * 3 + w * 3) 32 = -5w + (18 + 3w) Reorder the terms: 32 = 18 + -5w + 3w Combine like terms: -5w + 3w = -2w 32 = 18 + -2w Solving 32 = 18 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 32 + 2w = 18 + -2w + 2w Combine like terms: -2w + 2w = 0 32 + 2w = 18 + 0 32 + 2w = 18 Add '-32' to each side of the equation. 32 + -32 + 2w = 18 + -32 Combine like terms: 32 + -32 = 0 0 + 2w = 18 + -32 2w = 18 + -32 Combine like terms: 18 + -32 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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