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Simplifying -3(w + -6) = 9w + -42 Reorder the terms: -3(-6 + w) = 9w + -42 (-6 * -3 + w * -3) = 9w + -42 (18 + -3w) = 9w + -42 Reorder the terms: 18 + -3w = -42 + 9w Solving 18 + -3w = -42 + 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 = -42 + 9w + -9w Combine like terms: -3w + -9w = -12w 18 + -12w = -42 + 9w + -9w Combine like terms: 9w + -9w = 0 18 + -12w = -42 + 0 18 + -12w = -42 Add '-18' to each side of the equation. 18 + -18 + -12w = -42 + -18 Combine like terms: 18 + -18 = 0 0 + -12w = -42 + -18 -12w = -42 + -18 Combine like terms: -42 + -18 = -60 -12w = -60 Divide each side by '-12'. w = 5 Simplifying w = 5
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