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Simplifying 9w + 12 = -3(w + 4) Reorder the terms: 12 + 9w = -3(w + 4) Reorder the terms: 12 + 9w = -3(4 + w) 12 + 9w = (4 * -3 + w * -3) 12 + 9w = (-12 + -3w) Solving 12 + 9w = -12 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 12 + 9w + 3w = -12 + -3w + 3w Combine like terms: 9w + 3w = 12w 12 + 12w = -12 + -3w + 3w Combine like terms: -3w + 3w = 0 12 + 12w = -12 + 0 12 + 12w = -12 Add '-12' to each side of the equation. 12 + -12 + 12w = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 12w = -12 + -12 12w = -12 + -12 Combine like terms: -12 + -12 = -24 12w = -24 Divide each side by '12'. w = -2 Simplifying w = -2
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