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Simplifying -2(7w + -9) + 9w = 9 + 3(3w + -1) Reorder the terms: -2(-9 + 7w) + 9w = 9 + 3(3w + -1) (-9 * -2 + 7w * -2) + 9w = 9 + 3(3w + -1) (18 + -14w) + 9w = 9 + 3(3w + -1) Combine like terms: -14w + 9w = -5w 18 + -5w = 9 + 3(3w + -1) Reorder the terms: 18 + -5w = 9 + 3(-1 + 3w) 18 + -5w = 9 + (-1 * 3 + 3w * 3) 18 + -5w = 9 + (-3 + 9w) Combine like terms: 9 + -3 = 6 18 + -5w = 6 + 9w Solving 18 + -5w = 6 + 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. 18 + -5w + -9w = 6 + 9w + -9w Combine like terms: -5w + -9w = -14w 18 + -14w = 6 + 9w + -9w Combine like terms: 9w + -9w = 0 18 + -14w = 6 + 0 18 + -14w = 6 Add '-18' to each side of the equation. 18 + -18 + -14w = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -14w = 6 + -18 -14w = 6 + -18 Combine like terms: 6 + -18 = -12 -14w = -12 Divide each side by '-14'. w = 0.8571428571 Simplifying w = 0.8571428571
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