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Simplifying -3(w + -6) = -9w + 12 Reorder the terms: -3(-6 + w) = -9w + 12 (-6 * -3 + w * -3) = -9w + 12 (18 + -3w) = -9w + 12 Reorder the terms: 18 + -3w = 12 + -9w Solving 18 + -3w = 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. 18 + -3w + 9w = 12 + -9w + 9w Combine like terms: -3w + 9w = 6w 18 + 6w = 12 + -9w + 9w Combine like terms: -9w + 9w = 0 18 + 6w = 12 + 0 18 + 6w = 12 Add '-18' to each side of the equation. 18 + -18 + 6w = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 6w = 12 + -18 6w = 12 + -18 Combine like terms: 12 + -18 = -6 6w = -6 Divide each side by '6'. w = -1 Simplifying w = -1
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