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Simplifying 2w + -5(w + -9) = 4(w + -6) Reorder the terms: 2w + -5(-9 + w) = 4(w + -6) 2w + (-9 * -5 + w * -5) = 4(w + -6) 2w + (45 + -5w) = 4(w + -6) Reorder the terms: 45 + 2w + -5w = 4(w + -6) Combine like terms: 2w + -5w = -3w 45 + -3w = 4(w + -6) Reorder the terms: 45 + -3w = 4(-6 + w) 45 + -3w = (-6 * 4 + w * 4) 45 + -3w = (-24 + 4w) Solving 45 + -3w = -24 + 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. 45 + -3w + -4w = -24 + 4w + -4w Combine like terms: -3w + -4w = -7w 45 + -7w = -24 + 4w + -4w Combine like terms: 4w + -4w = 0 45 + -7w = -24 + 0 45 + -7w = -24 Add '-45' to each side of the equation. 45 + -45 + -7w = -24 + -45 Combine like terms: 45 + -45 = 0 0 + -7w = -24 + -45 -7w = -24 + -45 Combine like terms: -24 + -45 = -69 -7w = -69 Divide each side by '-7'. w = 9.857142857 Simplifying w = 9.857142857
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