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Simplifying 3(w + 4) = -9w + -24 Reorder the terms: 3(4 + w) = -9w + -24 (4 * 3 + w * 3) = -9w + -24 (12 + 3w) = -9w + -24 Reorder the terms: 12 + 3w = -24 + -9w Solving 12 + 3w = -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. 12 + 3w + 9w = -24 + -9w + 9w Combine like terms: 3w + 9w = 12w 12 + 12w = -24 + -9w + 9w Combine like terms: -9w + 9w = 0 12 + 12w = -24 + 0 12 + 12w = -24 Add '-12' to each side of the equation. 12 + -12 + 12w = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 12w = -24 + -12 12w = -24 + -12 Combine like terms: -24 + -12 = -36 12w = -36 Divide each side by '12'. w = -3 Simplifying w = -3
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