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Simplifying -5(3w + -3) + 8w = 2(w + 9) Reorder the terms: -5(-3 + 3w) + 8w = 2(w + 9) (-3 * -5 + 3w * -5) + 8w = 2(w + 9) (15 + -15w) + 8w = 2(w + 9) Combine like terms: -15w + 8w = -7w 15 + -7w = 2(w + 9) Reorder the terms: 15 + -7w = 2(9 + w) 15 + -7w = (9 * 2 + w * 2) 15 + -7w = (18 + 2w) Solving 15 + -7w = 18 + 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. 15 + -7w + -2w = 18 + 2w + -2w Combine like terms: -7w + -2w = -9w 15 + -9w = 18 + 2w + -2w Combine like terms: 2w + -2w = 0 15 + -9w = 18 + 0 15 + -9w = 18 Add '-15' to each side of the equation. 15 + -15 + -9w = 18 + -15 Combine like terms: 15 + -15 = 0 0 + -9w = 18 + -15 -9w = 18 + -15 Combine like terms: 18 + -15 = 3 -9w = 3 Divide each side by '-9'. w = -0.3333333333 Simplifying w = -0.3333333333
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