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Simplifying -9(w + -1) = -6w + 24 Reorder the terms: -9(-1 + w) = -6w + 24 (-1 * -9 + w * -9) = -6w + 24 (9 + -9w) = -6w + 24 Reorder the terms: 9 + -9w = 24 + -6w Solving 9 + -9w = 24 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 9 + -9w + 6w = 24 + -6w + 6w Combine like terms: -9w + 6w = -3w 9 + -3w = 24 + -6w + 6w Combine like terms: -6w + 6w = 0 9 + -3w = 24 + 0 9 + -3w = 24 Add '-9' to each side of the equation. 9 + -9 + -3w = 24 + -9 Combine like terms: 9 + -9 = 0 0 + -3w = 24 + -9 -3w = 24 + -9 Combine like terms: 24 + -9 = 15 -3w = 15 Divide each side by '-3'. w = -5 Simplifying w = -5
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