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Simplifying -3w + 5(w + -6) = -12 Reorder the terms: -3w + 5(-6 + w) = -12 -3w + (-6 * 5 + w * 5) = -12 -3w + (-30 + 5w) = -12 Reorder the terms: -30 + -3w + 5w = -12 Combine like terms: -3w + 5w = 2w -30 + 2w = -12 Solving -30 + 2w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 2w = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 2w = -12 + 30 2w = -12 + 30 Combine like terms: -12 + 30 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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