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Simplifying 24 = 3(-2w + 6) Reorder the terms: 24 = 3(6 + -2w) 24 = (6 * 3 + -2w * 3) 24 = (18 + -6w) Solving 24 = 18 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 24 + 6w = 18 + -6w + 6w Combine like terms: -6w + 6w = 0 24 + 6w = 18 + 0 24 + 6w = 18 Add '-24' to each side of the equation. 24 + -24 + 6w = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 6w = 18 + -24 6w = 18 + -24 Combine like terms: 18 + -24 = -6 6w = -6 Divide each side by '6'. w = -1 Simplifying w = -1
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