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Simplifying 9w + -1 + 2(2w + 5) = -3(w + 1) Reorder the terms: 9w + -1 + 2(5 + 2w) = -3(w + 1) 9w + -1 + (5 * 2 + 2w * 2) = -3(w + 1) 9w + -1 + (10 + 4w) = -3(w + 1) Reorder the terms: -1 + 10 + 9w + 4w = -3(w + 1) Combine like terms: -1 + 10 = 9 9 + 9w + 4w = -3(w + 1) Combine like terms: 9w + 4w = 13w 9 + 13w = -3(w + 1) Reorder the terms: 9 + 13w = -3(1 + w) 9 + 13w = (1 * -3 + w * -3) 9 + 13w = (-3 + -3w) Solving 9 + 13w = -3 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 9 + 13w + 3w = -3 + -3w + 3w Combine like terms: 13w + 3w = 16w 9 + 16w = -3 + -3w + 3w Combine like terms: -3w + 3w = 0 9 + 16w = -3 + 0 9 + 16w = -3 Add '-9' to each side of the equation. 9 + -9 + 16w = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 16w = -3 + -9 16w = -3 + -9 Combine like terms: -3 + -9 = -12 16w = -12 Divide each side by '16'. w = -0.75 Simplifying w = -0.75
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