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Simplifying 5w + -5 + 2(3w + 7) = -5(w + 1) Reorder the terms: 5w + -5 + 2(7 + 3w) = -5(w + 1) 5w + -5 + (7 * 2 + 3w * 2) = -5(w + 1) 5w + -5 + (14 + 6w) = -5(w + 1) Reorder the terms: -5 + 14 + 5w + 6w = -5(w + 1) Combine like terms: -5 + 14 = 9 9 + 5w + 6w = -5(w + 1) Combine like terms: 5w + 6w = 11w 9 + 11w = -5(w + 1) Reorder the terms: 9 + 11w = -5(1 + w) 9 + 11w = (1 * -5 + w * -5) 9 + 11w = (-5 + -5w) Solving 9 + 11w = -5 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 9 + 11w + 5w = -5 + -5w + 5w Combine like terms: 11w + 5w = 16w 9 + 16w = -5 + -5w + 5w Combine like terms: -5w + 5w = 0 9 + 16w = -5 + 0 9 + 16w = -5 Add '-9' to each side of the equation. 9 + -9 + 16w = -5 + -9 Combine like terms: 9 + -9 = 0 0 + 16w = -5 + -9 16w = -5 + -9 Combine like terms: -5 + -9 = -14 16w = -14 Divide each side by '16'. w = -0.875 Simplifying w = -0.875
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