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Simplifying 5(w + 9) = -6(3w + -9) + 8w Reorder the terms: 5(9 + w) = -6(3w + -9) + 8w (9 * 5 + w * 5) = -6(3w + -9) + 8w (45 + 5w) = -6(3w + -9) + 8w Reorder the terms: 45 + 5w = -6(-9 + 3w) + 8w 45 + 5w = (-9 * -6 + 3w * -6) + 8w 45 + 5w = (54 + -18w) + 8w Combine like terms: -18w + 8w = -10w 45 + 5w = 54 + -10w Solving 45 + 5w = 54 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 45 + 5w + 10w = 54 + -10w + 10w Combine like terms: 5w + 10w = 15w 45 + 15w = 54 + -10w + 10w Combine like terms: -10w + 10w = 0 45 + 15w = 54 + 0 45 + 15w = 54 Add '-45' to each side of the equation. 45 + -45 + 15w = 54 + -45 Combine like terms: 45 + -45 = 0 0 + 15w = 54 + -45 15w = 54 + -45 Combine like terms: 54 + -45 = 9 15w = 9 Divide each side by '15'. w = 0.6 Simplifying w = 0.6
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