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Simplifying 24 = 3w + 6(w + -2) Reorder the terms: 24 = 3w + 6(-2 + w) 24 = 3w + (-2 * 6 + w * 6) 24 = 3w + (-12 + 6w) Reorder the terms: 24 = -12 + 3w + 6w Combine like terms: 3w + 6w = 9w 24 = -12 + 9w Solving 24 = -12 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 24 + -9w = -12 + 9w + -9w Combine like terms: 9w + -9w = 0 24 + -9w = -12 + 0 24 + -9w = -12 Add '-24' to each side of the equation. 24 + -24 + -9w = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -9w = -12 + -24 -9w = -12 + -24 Combine like terms: -12 + -24 = -36 -9w = -36 Divide each side by '-9'. w = 4 Simplifying w = 4
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