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Simplifying -5(w + 7) = 9w + 49 Reorder the terms: -5(7 + w) = 9w + 49 (7 * -5 + w * -5) = 9w + 49 (-35 + -5w) = 9w + 49 Reorder the terms: -35 + -5w = 49 + 9w Solving -35 + -5w = 49 + 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. -35 + -5w + -9w = 49 + 9w + -9w Combine like terms: -5w + -9w = -14w -35 + -14w = 49 + 9w + -9w Combine like terms: 9w + -9w = 0 -35 + -14w = 49 + 0 -35 + -14w = 49 Add '35' to each side of the equation. -35 + 35 + -14w = 49 + 35 Combine like terms: -35 + 35 = 0 0 + -14w = 49 + 35 -14w = 49 + 35 Combine like terms: 49 + 35 = 84 -14w = 84 Divide each side by '-14'. w = -6 Simplifying w = -6
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