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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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