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Simplifying 5w + 9 + -2(-3w + -2) = 2(w + -1) Reorder the terms: 5w + 9 + -2(-2 + -3w) = 2(w + -1) 5w + 9 + (-2 * -2 + -3w * -2) = 2(w + -1) 5w + 9 + (4 + 6w) = 2(w + -1) Reorder the terms: 9 + 4 + 5w + 6w = 2(w + -1) Combine like terms: 9 + 4 = 13 13 + 5w + 6w = 2(w + -1) Combine like terms: 5w + 6w = 11w 13 + 11w = 2(w + -1) Reorder the terms: 13 + 11w = 2(-1 + w) 13 + 11w = (-1 * 2 + w * 2) 13 + 11w = (-2 + 2w) Solving 13 + 11w = -2 + 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. 13 + 11w + -2w = -2 + 2w + -2w Combine like terms: 11w + -2w = 9w 13 + 9w = -2 + 2w + -2w Combine like terms: 2w + -2w = 0 13 + 9w = -2 + 0 13 + 9w = -2 Add '-13' to each side of the equation. 13 + -13 + 9w = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 9w = -2 + -13 9w = -2 + -13 Combine like terms: -2 + -13 = -15 9w = -15 Divide each side by '9'. w = -1.666666667 Simplifying w = -1.666666667
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