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Simplifying 3(3w + 5) = -32 Reorder the terms: 3(5 + 3w) = -32 (5 * 3 + 3w * 3) = -32 (15 + 9w) = -32 Solving 15 + 9w = -32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 9w = -32 + -15 Combine like terms: 15 + -15 = 0 0 + 9w = -32 + -15 9w = -32 + -15 Combine like terms: -32 + -15 = -47 9w = -47 Divide each side by '9'. w = -5.222222222 Simplifying w = -5.222222222
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