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Simplifying -5(w + -1) + -1(5w + -9) = -11w Reorder the terms: -5(-1 + w) + -1(5w + -9) = -11w (-1 * -5 + w * -5) + -1(5w + -9) = -11w (5 + -5w) + -1(5w + -9) = -11w Reorder the terms: 5 + -5w + -1(-9 + 5w) = -11w 5 + -5w + (-9 * -1 + 5w * -1) = -11w 5 + -5w + (9 + -5w) = -11w Reorder the terms: 5 + 9 + -5w + -5w = -11w Combine like terms: 5 + 9 = 14 14 + -5w + -5w = -11w Combine like terms: -5w + -5w = -10w 14 + -10w = -11w Solving 14 + -10w = -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. 14 + -10w + 11w = -11w + 11w Combine like terms: -10w + 11w = 1w 14 + 1w = -11w + 11w Combine like terms: -11w + 11w = 0 14 + 1w = 0 Add '-14' to each side of the equation. 14 + -14 + 1w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1w = 0 + -14 1w = 0 + -14 Combine like terms: 0 + -14 = -14 1w = -14 Divide each side by '1'. w = -14 Simplifying w = -14
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