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Simplifying -9(w + -8) = 5w + -40 Reorder the terms: -9(-8 + w) = 5w + -40 (-8 * -9 + w * -9) = 5w + -40 (72 + -9w) = 5w + -40 Reorder the terms: 72 + -9w = -40 + 5w Solving 72 + -9w = -40 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 72 + -9w + -5w = -40 + 5w + -5w Combine like terms: -9w + -5w = -14w 72 + -14w = -40 + 5w + -5w Combine like terms: 5w + -5w = 0 72 + -14w = -40 + 0 72 + -14w = -40 Add '-72' to each side of the equation. 72 + -72 + -14w = -40 + -72 Combine like terms: 72 + -72 = 0 0 + -14w = -40 + -72 -14w = -40 + -72 Combine like terms: -40 + -72 = -112 -14w = -112 Divide each side by '-14'. w = 8 Simplifying w = 8
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