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Simplifying -2(8w + -7) + 5w = 5(w + 4) Reorder the terms: -2(-7 + 8w) + 5w = 5(w + 4) (-7 * -2 + 8w * -2) + 5w = 5(w + 4) (14 + -16w) + 5w = 5(w + 4) Combine like terms: -16w + 5w = -11w 14 + -11w = 5(w + 4) Reorder the terms: 14 + -11w = 5(4 + w) 14 + -11w = (4 * 5 + w * 5) 14 + -11w = (20 + 5w) Solving 14 + -11w = 20 + 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. 14 + -11w + -5w = 20 + 5w + -5w Combine like terms: -11w + -5w = -16w 14 + -16w = 20 + 5w + -5w Combine like terms: 5w + -5w = 0 14 + -16w = 20 + 0 14 + -16w = 20 Add '-14' to each side of the equation. 14 + -14 + -16w = 20 + -14 Combine like terms: 14 + -14 = 0 0 + -16w = 20 + -14 -16w = 20 + -14 Combine like terms: 20 + -14 = 6 -16w = 6 Divide each side by '-16'. w = -0.375 Simplifying w = -0.375
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