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Simplifying w + -4 + 4(3w + 1) = -3(w + 6) Reorder the terms: w + -4 + 4(1 + 3w) = -3(w + 6) w + -4 + (1 * 4 + 3w * 4) = -3(w + 6) w + -4 + (4 + 12w) = -3(w + 6) Reorder the terms: -4 + 4 + w + 12w = -3(w + 6) Combine like terms: -4 + 4 = 0 0 + w + 12w = -3(w + 6) w + 12w = -3(w + 6) Combine like terms: w + 12w = 13w 13w = -3(w + 6) Reorder the terms: 13w = -3(6 + w) 13w = (6 * -3 + w * -3) 13w = (-18 + -3w) Solving 13w = -18 + -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. 13w + 3w = -18 + -3w + 3w Combine like terms: 13w + 3w = 16w 16w = -18 + -3w + 3w Combine like terms: -3w + 3w = 0 16w = -18 + 0 16w = -18 Divide each side by '16'. w = -1.125 Simplifying w = -1.125
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