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Simplifying 24 = -6w + 3(w + 4) Reorder the terms: 24 = -6w + 3(4 + w) 24 = -6w + (4 * 3 + w * 3) 24 = -6w + (12 + 3w) Reorder the terms: 24 = 12 + -6w + 3w Combine like terms: -6w + 3w = -3w 24 = 12 + -3w Solving 24 = 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. 24 + 3w = 12 + -3w + 3w Combine like terms: -3w + 3w = 0 24 + 3w = 12 + 0 24 + 3w = 12 Add '-24' to each side of the equation. 24 + -24 + 3w = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 3w = 12 + -24 3w = 12 + -24 Combine like terms: 12 + -24 = -12 3w = -12 Divide each side by '3'. w = -4 Simplifying w = -4
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