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Simplifying 24 = 12(3 + -1w) 24 = (3 * 12 + -1w * 12) 24 = (36 + -12w) Solving 24 = 36 + -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. 24 + 12w = 36 + -12w + 12w Combine like terms: -12w + 12w = 0 24 + 12w = 36 + 0 24 + 12w = 36 Add '-24' to each side of the equation. 24 + -24 + 12w = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 12w = 36 + -24 12w = 36 + -24 Combine like terms: 36 + -24 = 12 12w = 12 Divide each side by '12'. w = 1 Simplifying w = 1
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