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Simplifying -9(w + 2) = 5w + 24 Reorder the terms: -9(2 + w) = 5w + 24 (2 * -9 + w * -9) = 5w + 24 (-18 + -9w) = 5w + 24 Reorder the terms: -18 + -9w = 24 + 5w Solving -18 + -9w = 24 + 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. -18 + -9w + -5w = 24 + 5w + -5w Combine like terms: -9w + -5w = -14w -18 + -14w = 24 + 5w + -5w Combine like terms: 5w + -5w = 0 -18 + -14w = 24 + 0 -18 + -14w = 24 Add '18' to each side of the equation. -18 + 18 + -14w = 24 + 18 Combine like terms: -18 + 18 = 0 0 + -14w = 24 + 18 -14w = 24 + 18 Combine like terms: 24 + 18 = 42 -14w = 42 Divide each side by '-14'. w = -3 Simplifying w = -3
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