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Simplifying 5(w + 6) = -3(4w + -9) + 8w Reorder the terms: 5(6 + w) = -3(4w + -9) + 8w (6 * 5 + w * 5) = -3(4w + -9) + 8w (30 + 5w) = -3(4w + -9) + 8w Reorder the terms: 30 + 5w = -3(-9 + 4w) + 8w 30 + 5w = (-9 * -3 + 4w * -3) + 8w 30 + 5w = (27 + -12w) + 8w Combine like terms: -12w + 8w = -4w 30 + 5w = 27 + -4w Solving 30 + 5w = 27 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 30 + 5w + 4w = 27 + -4w + 4w Combine like terms: 5w + 4w = 9w 30 + 9w = 27 + -4w + 4w Combine like terms: -4w + 4w = 0 30 + 9w = 27 + 0 30 + 9w = 27 Add '-30' to each side of the equation. 30 + -30 + 9w = 27 + -30 Combine like terms: 30 + -30 = 0 0 + 9w = 27 + -30 9w = 27 + -30 Combine like terms: 27 + -30 = -3 9w = -3 Divide each side by '9'. w = -0.3333333333 Simplifying w = -0.3333333333
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