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Simplifying 24 = -8w + 2(w + -3) Reorder the terms: 24 = -8w + 2(-3 + w) 24 = -8w + (-3 * 2 + w * 2) 24 = -8w + (-6 + 2w) Reorder the terms: 24 = -6 + -8w + 2w Combine like terms: -8w + 2w = -6w 24 = -6 + -6w Solving 24 = -6 + -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 = -6 + -6w + 6w Combine like terms: -6w + 6w = 0 24 + 6w = -6 + 0 24 + 6w = -6 Add '-24' to each side of the equation. 24 + -24 + 6w = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 6w = -6 + -24 6w = -6 + -24 Combine like terms: -6 + -24 = -30 6w = -30 Divide each side by '6'. w = -5 Simplifying w = -5
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