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Simplifying 5(w + 4) = -2(6w + -5) + w Reorder the terms: 5(4 + w) = -2(6w + -5) + w (4 * 5 + w * 5) = -2(6w + -5) + w (20 + 5w) = -2(6w + -5) + w Reorder the terms: 20 + 5w = -2(-5 + 6w) + w 20 + 5w = (-5 * -2 + 6w * -2) + w 20 + 5w = (10 + -12w) + w Combine like terms: -12w + w = -11w 20 + 5w = 10 + -11w Solving 20 + 5w = 10 + -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. 20 + 5w + 11w = 10 + -11w + 11w Combine like terms: 5w + 11w = 16w 20 + 16w = 10 + -11w + 11w Combine like terms: -11w + 11w = 0 20 + 16w = 10 + 0 20 + 16w = 10 Add '-20' to each side of the equation. 20 + -20 + 16w = 10 + -20 Combine like terms: 20 + -20 = 0 0 + 16w = 10 + -20 16w = 10 + -20 Combine like terms: 10 + -20 = -10 16w = -10 Divide each side by '16'. w = -0.625 Simplifying w = -0.625
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