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Simplifying w + 7 + -2(-5w + -1) = 3(w + -1) Reorder the terms: w + 7 + -2(-1 + -5w) = 3(w + -1) w + 7 + (-1 * -2 + -5w * -2) = 3(w + -1) w + 7 + (2 + 10w) = 3(w + -1) Reorder the terms: 7 + 2 + w + 10w = 3(w + -1) Combine like terms: 7 + 2 = 9 9 + w + 10w = 3(w + -1) Combine like terms: w + 10w = 11w 9 + 11w = 3(w + -1) Reorder the terms: 9 + 11w = 3(-1 + w) 9 + 11w = (-1 * 3 + w * 3) 9 + 11w = (-3 + 3w) Solving 9 + 11w = -3 + 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 + 11w + -3w = -3 + 3w + -3w Combine like terms: 11w + -3w = 8w 9 + 8w = -3 + 3w + -3w Combine like terms: 3w + -3w = 0 9 + 8w = -3 + 0 9 + 8w = -3 Add '-9' to each side of the equation. 9 + -9 + 8w = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 8w = -3 + -9 8w = -3 + -9 Combine like terms: -3 + -9 = -12 8w = -12 Divide each side by '8'. w = -1.5 Simplifying w = -1.5
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