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Simplifying w + -8 + 2(5w + 2) = -5(w + 2) Reorder the terms: w + -8 + 2(2 + 5w) = -5(w + 2) w + -8 + (2 * 2 + 5w * 2) = -5(w + 2) w + -8 + (4 + 10w) = -5(w + 2) Reorder the terms: -8 + 4 + w + 10w = -5(w + 2) Combine like terms: -8 + 4 = -4 -4 + w + 10w = -5(w + 2) Combine like terms: w + 10w = 11w -4 + 11w = -5(w + 2) Reorder the terms: -4 + 11w = -5(2 + w) -4 + 11w = (2 * -5 + w * -5) -4 + 11w = (-10 + -5w) Solving -4 + 11w = -10 + -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. -4 + 11w + 5w = -10 + -5w + 5w Combine like terms: 11w + 5w = 16w -4 + 16w = -10 + -5w + 5w Combine like terms: -5w + 5w = 0 -4 + 16w = -10 + 0 -4 + 16w = -10 Add '4' to each side of the equation. -4 + 4 + 16w = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 16w = -10 + 4 16w = -10 + 4 Combine like terms: -10 + 4 = -6 16w = -6 Divide each side by '16'. w = -0.375 Simplifying w = -0.375
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