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Simplifying 3w + 24 = -9(w + 8) Reorder the terms: 24 + 3w = -9(w + 8) Reorder the terms: 24 + 3w = -9(8 + w) 24 + 3w = (8 * -9 + w * -9) 24 + 3w = (-72 + -9w) Solving 24 + 3w = -72 + -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 + 3w + 9w = -72 + -9w + 9w Combine like terms: 3w + 9w = 12w 24 + 12w = -72 + -9w + 9w Combine like terms: -9w + 9w = 0 24 + 12w = -72 + 0 24 + 12w = -72 Add '-24' to each side of the equation. 24 + -24 + 12w = -72 + -24 Combine like terms: 24 + -24 = 0 0 + 12w = -72 + -24 12w = -72 + -24 Combine like terms: -72 + -24 = -96 12w = -96 Divide each side by '12'. w = -8 Simplifying w = -8
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