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Simplifying -6(w + -5) = 9w + 24 Reorder the terms: -6(-5 + w) = 9w + 24 (-5 * -6 + w * -6) = 9w + 24 (30 + -6w) = 9w + 24 Reorder the terms: 30 + -6w = 24 + 9w Solving 30 + -6w = 24 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 30 + -6w + -9w = 24 + 9w + -9w Combine like terms: -6w + -9w = -15w 30 + -15w = 24 + 9w + -9w Combine like terms: 9w + -9w = 0 30 + -15w = 24 + 0 30 + -15w = 24 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 = -6 -15w = -6 Divide each side by '-15'. w = 0.4 Simplifying w = 0.4
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