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Simplifying 3w + -4 + 2(5w + 3) = -3(w + 4) Reorder the terms: 3w + -4 + 2(3 + 5w) = -3(w + 4) 3w + -4 + (3 * 2 + 5w * 2) = -3(w + 4) 3w + -4 + (6 + 10w) = -3(w + 4) Reorder the terms: -4 + 6 + 3w + 10w = -3(w + 4) Combine like terms: -4 + 6 = 2 2 + 3w + 10w = -3(w + 4) Combine like terms: 3w + 10w = 13w 2 + 13w = -3(w + 4) Reorder the terms: 2 + 13w = -3(4 + w) 2 + 13w = (4 * -3 + w * -3) 2 + 13w = (-12 + -3w) Solving 2 + 13w = -12 + -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. 2 + 13w + 3w = -12 + -3w + 3w Combine like terms: 13w + 3w = 16w 2 + 16w = -12 + -3w + 3w Combine like terms: -3w + 3w = 0 2 + 16w = -12 + 0 2 + 16w = -12 Add '-2' to each side of the equation. 2 + -2 + 16w = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 16w = -12 + -2 16w = -12 + -2 Combine like terms: -12 + -2 = -14 16w = -14 Divide each side by '16'. w = -0.875 Simplifying w = -0.875
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