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Simplifying 5(3w + 7) = -32 Reorder the terms: 5(7 + 3w) = -32 (7 * 5 + 3w * 5) = -32 (35 + 15w) = -32 Solving 35 + 15w = -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 + 15w = -32 + -35 Combine like terms: 35 + -35 = 0 0 + 15w = -32 + -35 15w = -32 + -35 Combine like terms: -32 + -35 = -67 15w = -67 Divide each side by '15'. w = -4.466666667 Simplifying w = -4.466666667
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