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Simplifying 3(w + 3) = -5(4w + -5) + 9w Reorder the terms: 3(3 + w) = -5(4w + -5) + 9w (3 * 3 + w * 3) = -5(4w + -5) + 9w (9 + 3w) = -5(4w + -5) + 9w Reorder the terms: 9 + 3w = -5(-5 + 4w) + 9w 9 + 3w = (-5 * -5 + 4w * -5) + 9w 9 + 3w = (25 + -20w) + 9w Combine like terms: -20w + 9w = -11w 9 + 3w = 25 + -11w Solving 9 + 3w = 25 + -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. 9 + 3w + 11w = 25 + -11w + 11w Combine like terms: 3w + 11w = 14w 9 + 14w = 25 + -11w + 11w Combine like terms: -11w + 11w = 0 9 + 14w = 25 + 0 9 + 14w = 25 Add '-9' to each side of the equation. 9 + -9 + 14w = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 14w = 25 + -9 14w = 25 + -9 Combine like terms: 25 + -9 = 16 14w = 16 Divide each side by '14'. w = 1.142857143 Simplifying w = 1.142857143
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