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Simplifying -12 = 4(-3w + 6) Reorder the terms: -12 = 4(6 + -3w) -12 = (6 * 4 + -3w * 4) -12 = (24 + -12w) Solving -12 = 24 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. -12 + 12w = 24 + -12w + 12w Combine like terms: -12w + 12w = 0 -12 + 12w = 24 + 0 -12 + 12w = 24 Add '12' to each side of the equation. -12 + 12 + 12w = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 12w = 24 + 12 12w = 24 + 12 Combine like terms: 24 + 12 = 36 12w = 36 Divide each side by '12'. w = 3 Simplifying w = 3
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