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Simplifying 5(w + 2) = -9w + 24 Reorder the terms: 5(2 + w) = -9w + 24 (2 * 5 + w * 5) = -9w + 24 (10 + 5w) = -9w + 24 Reorder the terms: 10 + 5w = 24 + -9w Solving 10 + 5w = 24 + -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. 10 + 5w + 9w = 24 + -9w + 9w Combine like terms: 5w + 9w = 14w 10 + 14w = 24 + -9w + 9w Combine like terms: -9w + 9w = 0 10 + 14w = 24 + 0 10 + 14w = 24 Add '-10' to each side of the equation. 10 + -10 + 14w = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 14w = 24 + -10 14w = 24 + -10 Combine like terms: 24 + -10 = 14 14w = 14 Divide each side by '14'. w = 1 Simplifying w = 1
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