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Simplifying 3w + -9 + 3(2w + 6) = -3(w + 3) Reorder the terms: 3w + -9 + 3(6 + 2w) = -3(w + 3) 3w + -9 + (6 * 3 + 2w * 3) = -3(w + 3) 3w + -9 + (18 + 6w) = -3(w + 3) Reorder the terms: -9 + 18 + 3w + 6w = -3(w + 3) Combine like terms: -9 + 18 = 9 9 + 3w + 6w = -3(w + 3) Combine like terms: 3w + 6w = 9w 9 + 9w = -3(w + 3) Reorder the terms: 9 + 9w = -3(3 + w) 9 + 9w = (3 * -3 + w * -3) 9 + 9w = (-9 + -3w) Solving 9 + 9w = -9 + -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. 9 + 9w + 3w = -9 + -3w + 3w Combine like terms: 9w + 3w = 12w 9 + 12w = -9 + -3w + 3w Combine like terms: -3w + 3w = 0 9 + 12w = -9 + 0 9 + 12w = -9 Add '-9' to each side of the equation. 9 + -9 + 12w = -9 + -9 Combine like terms: 9 + -9 = 0 0 + 12w = -9 + -9 12w = -9 + -9 Combine like terms: -9 + -9 = -18 12w = -18 Divide each side by '12'. w = -1.5 Simplifying w = -1.5
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