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Simplifying -6(2w + -3) + 3w = 5(w + 6) Reorder the terms: -6(-3 + 2w) + 3w = 5(w + 6) (-3 * -6 + 2w * -6) + 3w = 5(w + 6) (18 + -12w) + 3w = 5(w + 6) Combine like terms: -12w + 3w = -9w 18 + -9w = 5(w + 6) Reorder the terms: 18 + -9w = 5(6 + w) 18 + -9w = (6 * 5 + w * 5) 18 + -9w = (30 + 5w) Solving 18 + -9w = 30 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 18 + -9w + -5w = 30 + 5w + -5w Combine like terms: -9w + -5w = -14w 18 + -14w = 30 + 5w + -5w Combine like terms: 5w + -5w = 0 18 + -14w = 30 + 0 18 + -14w = 30 Add '-18' to each side of the equation. 18 + -18 + -14w = 30 + -18 Combine like terms: 18 + -18 = 0 0 + -14w = 30 + -18 -14w = 30 + -18 Combine like terms: 30 + -18 = 12 -14w = 12 Divide each side by '-14'. w = -0.8571428571 Simplifying w = -0.8571428571
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