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Simplifying -5(w + -8) = -9w + 24 Reorder the terms: -5(-8 + w) = -9w + 24 (-8 * -5 + w * -5) = -9w + 24 (40 + -5w) = -9w + 24 Reorder the terms: 40 + -5w = 24 + -9w Solving 40 + -5w = 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. 40 + -5w + 9w = 24 + -9w + 9w Combine like terms: -5w + 9w = 4w 40 + 4w = 24 + -9w + 9w Combine like terms: -9w + 9w = 0 40 + 4w = 24 + 0 40 + 4w = 24 Add '-40' to each side of the equation. 40 + -40 + 4w = 24 + -40 Combine like terms: 40 + -40 = 0 0 + 4w = 24 + -40 4w = 24 + -40 Combine like terms: 24 + -40 = -16 4w = -16 Divide each side by '4'. w = -4 Simplifying w = -4
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