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Simplifying -4(w + -2) = -9w + -12 Reorder the terms: -4(-2 + w) = -9w + -12 (-2 * -4 + w * -4) = -9w + -12 (8 + -4w) = -9w + -12 Reorder the terms: 8 + -4w = -12 + -9w Solving 8 + -4w = -12 + -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. 8 + -4w + 9w = -12 + -9w + 9w Combine like terms: -4w + 9w = 5w 8 + 5w = -12 + -9w + 9w Combine like terms: -9w + 9w = 0 8 + 5w = -12 + 0 8 + 5w = -12 Add '-8' to each side of the equation. 8 + -8 + 5w = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 5w = -12 + -8 5w = -12 + -8 Combine like terms: -12 + -8 = -20 5w = -20 Divide each side by '5'. w = -4 Simplifying w = -4
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