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Simplifying 3(w + 9) = -3(5w + -5) + 4w Reorder the terms: 3(9 + w) = -3(5w + -5) + 4w (9 * 3 + w * 3) = -3(5w + -5) + 4w (27 + 3w) = -3(5w + -5) + 4w Reorder the terms: 27 + 3w = -3(-5 + 5w) + 4w 27 + 3w = (-5 * -3 + 5w * -3) + 4w 27 + 3w = (15 + -15w) + 4w Combine like terms: -15w + 4w = -11w 27 + 3w = 15 + -11w Solving 27 + 3w = 15 + -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. 27 + 3w + 11w = 15 + -11w + 11w Combine like terms: 3w + 11w = 14w 27 + 14w = 15 + -11w + 11w Combine like terms: -11w + 11w = 0 27 + 14w = 15 + 0 27 + 14w = 15 Add '-27' to each side of the equation. 27 + -27 + 14w = 15 + -27 Combine like terms: 27 + -27 = 0 0 + 14w = 15 + -27 14w = 15 + -27 Combine like terms: 15 + -27 = -12 14w = -12 Divide each side by '14'. w = -0.8571428571 Simplifying w = -0.8571428571
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