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Simplifying -3(3w + -3) + 2w = 2(w + 6) Reorder the terms: -3(-3 + 3w) + 2w = 2(w + 6) (-3 * -3 + 3w * -3) + 2w = 2(w + 6) (9 + -9w) + 2w = 2(w + 6) Combine like terms: -9w + 2w = -7w 9 + -7w = 2(w + 6) Reorder the terms: 9 + -7w = 2(6 + w) 9 + -7w = (6 * 2 + w * 2) 9 + -7w = (12 + 2w) Solving 9 + -7w = 12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 9 + -7w + -2w = 12 + 2w + -2w Combine like terms: -7w + -2w = -9w 9 + -9w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 9 + -9w = 12 + 0 9 + -9w = 12 Add '-9' to each side of the equation. 9 + -9 + -9w = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -9w = 12 + -9 -9w = 12 + -9 Combine like terms: 12 + -9 = 3 -9w = 3 Divide each side by '-9'. w = -0.3333333333 Simplifying w = -0.3333333333
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