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Simplifying -2(5w + -9) + 2w = 6(w + 1) Reorder the terms: -2(-9 + 5w) + 2w = 6(w + 1) (-9 * -2 + 5w * -2) + 2w = 6(w + 1) (18 + -10w) + 2w = 6(w + 1) Combine like terms: -10w + 2w = -8w 18 + -8w = 6(w + 1) Reorder the terms: 18 + -8w = 6(1 + w) 18 + -8w = (1 * 6 + w * 6) 18 + -8w = (6 + 6w) Solving 18 + -8w = 6 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 18 + -8w + -6w = 6 + 6w + -6w Combine like terms: -8w + -6w = -14w 18 + -14w = 6 + 6w + -6w Combine like terms: 6w + -6w = 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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