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Simplifying 5(3w + 6) = -24 Reorder the terms: 5(6 + 3w) = -24 (6 * 5 + 3w * 5) = -24 (30 + 15w) = -24 Solving 30 + 15w = -24 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 15w = -24 + -30 Combine like terms: 30 + -30 = 0 0 + 15w = -24 + -30 15w = -24 + -30 Combine like terms: -24 + -30 = -54 15w = -54 Divide each side by '15'. w = -3.6 Simplifying w = -3.6
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