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Simplifying -2(7w + -9) + 9w = 7(w + 4) Reorder the terms: -2(-9 + 7w) + 9w = 7(w + 4) (-9 * -2 + 7w * -2) + 9w = 7(w + 4) (18 + -14w) + 9w = 7(w + 4) Combine like terms: -14w + 9w = -5w 18 + -5w = 7(w + 4) Reorder the terms: 18 + -5w = 7(4 + w) 18 + -5w = (4 * 7 + w * 7) 18 + -5w = (28 + 7w) Solving 18 + -5w = 28 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 18 + -5w + -7w = 28 + 7w + -7w Combine like terms: -5w + -7w = -12w 18 + -12w = 28 + 7w + -7w Combine like terms: 7w + -7w = 0 18 + -12w = 28 + 0 18 + -12w = 28 Add '-18' to each side of the equation. 18 + -18 + -12w = 28 + -18 Combine like terms: 18 + -18 = 0 0 + -12w = 28 + -18 -12w = 28 + -18 Combine like terms: 28 + -18 = 10 -12w = 10 Divide each side by '-12'. w = -0.8333333333 Simplifying w = -0.8333333333
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