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Simplifying -4(3w + -1) + 3w = 3(w + 6) Reorder the terms: -4(-1 + 3w) + 3w = 3(w + 6) (-1 * -4 + 3w * -4) + 3w = 3(w + 6) (4 + -12w) + 3w = 3(w + 6) Combine like terms: -12w + 3w = -9w 4 + -9w = 3(w + 6) Reorder the terms: 4 + -9w = 3(6 + w) 4 + -9w = (6 * 3 + w * 3) 4 + -9w = (18 + 3w) Solving 4 + -9w = 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. 4 + -9w + -3w = 18 + 3w + -3w Combine like terms: -9w + -3w = -12w 4 + -12w = 18 + 3w + -3w Combine like terms: 3w + -3w = 0 4 + -12w = 18 + 0 4 + -12w = 18 Add '-4' to each side of the equation. 4 + -4 + -12w = 18 + -4 Combine like terms: 4 + -4 = 0 0 + -12w = 18 + -4 -12w = 18 + -4 Combine like terms: 18 + -4 = 14 -12w = 14 Divide each side by '-12'. w = -1.166666667 Simplifying w = -1.166666667
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