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Simplifying -5(w + -4) + 5w = 9(w + 7) Reorder the terms: -5(-4 + w) + 5w = 9(w + 7) (-4 * -5 + w * -5) + 5w = 9(w + 7) (20 + -5w) + 5w = 9(w + 7) Combine like terms: -5w + 5w = 0 20 + 0 = 9(w + 7) 20 = 9(w + 7) Reorder the terms: 20 = 9(7 + w) 20 = (7 * 9 + w * 9) 20 = (63 + 9w) Solving 20 = 63 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 20 + -9w = 63 + 9w + -9w Combine like terms: 9w + -9w = 0 20 + -9w = 63 + 0 20 + -9w = 63 Add '-20' to each side of the equation. 20 + -20 + -9w = 63 + -20 Combine like terms: 20 + -20 = 0 0 + -9w = 63 + -20 -9w = 63 + -20 Combine like terms: 63 + -20 = 43 -9w = 43 Divide each side by '-9'. w = -4.777777778 Simplifying w = -4.777777778
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