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Simplifying 3w + -12 = -9(w + 4) Reorder the terms: -12 + 3w = -9(w + 4) Reorder the terms: -12 + 3w = -9(4 + w) -12 + 3w = (4 * -9 + w * -9) -12 + 3w = (-36 + -9w) Solving -12 + 3w = -36 + -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 = -36 + -9w + 9w Combine like terms: 3w + 9w = 12w -12 + 12w = -36 + -9w + 9w Combine like terms: -9w + 9w = 0 -12 + 12w = -36 + 0 -12 + 12w = -36 Add '12' to each side of the equation. -12 + 12 + 12w = -36 + 12 Combine like terms: -12 + 12 = 0 0 + 12w = -36 + 12 12w = -36 + 12 Combine like terms: -36 + 12 = -24 12w = -24 Divide each side by '12'. w = -2 Simplifying w = -2
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