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Simplifying 3w + -5 + 2(4w + 3) = -5(w + 1) Reorder the terms: 3w + -5 + 2(3 + 4w) = -5(w + 1) 3w + -5 + (3 * 2 + 4w * 2) = -5(w + 1) 3w + -5 + (6 + 8w) = -5(w + 1) Reorder the terms: -5 + 6 + 3w + 8w = -5(w + 1) Combine like terms: -5 + 6 = 1 1 + 3w + 8w = -5(w + 1) Combine like terms: 3w + 8w = 11w 1 + 11w = -5(w + 1) Reorder the terms: 1 + 11w = -5(1 + w) 1 + 11w = (1 * -5 + w * -5) 1 + 11w = (-5 + -5w) Solving 1 + 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. 1 + 11w + 5w = -5 + -5w + 5w Combine like terms: 11w + 5w = 16w 1 + 16w = -5 + -5w + 5w Combine like terms: -5w + 5w = 0 1 + 16w = -5 + 0 1 + 16w = -5 Add '-1' to each side of the equation. 1 + -1 + 16w = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 16w = -5 + -1 16w = -5 + -1 Combine like terms: -5 + -1 = -6 16w = -6 Divide each side by '16'. w = -0.375 Simplifying w = -0.375
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