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Simplifying -2(7w + -8) + 5w = 5(w + 2) Reorder the terms: -2(-8 + 7w) + 5w = 5(w + 2) (-8 * -2 + 7w * -2) + 5w = 5(w + 2) (16 + -14w) + 5w = 5(w + 2) Combine like terms: -14w + 5w = -9w 16 + -9w = 5(w + 2) Reorder the terms: 16 + -9w = 5(2 + w) 16 + -9w = (2 * 5 + w * 5) 16 + -9w = (10 + 5w) Solving 16 + -9w = 10 + 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. 16 + -9w + -5w = 10 + 5w + -5w Combine like terms: -9w + -5w = -14w 16 + -14w = 10 + 5w + -5w Combine like terms: 5w + -5w = 0 16 + -14w = 10 + 0 16 + -14w = 10 Add '-16' to each side of the equation. 16 + -16 + -14w = 10 + -16 Combine like terms: 16 + -16 = 0 0 + -14w = 10 + -16 -14w = 10 + -16 Combine like terms: 10 + -16 = -6 -14w = -6 Divide each side by '-14'. w = 0.4285714286 Simplifying w = 0.4285714286
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