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Simplifying 4(w + 9) = -3(5w + -6) + 5w Reorder the terms: 4(9 + w) = -3(5w + -6) + 5w (9 * 4 + w * 4) = -3(5w + -6) + 5w (36 + 4w) = -3(5w + -6) + 5w Reorder the terms: 36 + 4w = -3(-6 + 5w) + 5w 36 + 4w = (-6 * -3 + 5w * -3) + 5w 36 + 4w = (18 + -15w) + 5w Combine like terms: -15w + 5w = -10w 36 + 4w = 18 + -10w Solving 36 + 4w = 18 + -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. 36 + 4w + 10w = 18 + -10w + 10w Combine like terms: 4w + 10w = 14w 36 + 14w = 18 + -10w + 10w Combine like terms: -10w + 10w = 0 36 + 14w = 18 + 0 36 + 14w = 18 Add '-36' to each side of the equation. 36 + -36 + 14w = 18 + -36 Combine like terms: 36 + -36 = 0 0 + 14w = 18 + -36 14w = 18 + -36 Combine like terms: 18 + -36 = -18 14w = -18 Divide each side by '14'. w = -1.285714286 Simplifying w = -1.285714286
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