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Simplifying 17 = 5(w + -2) + -8w Reorder the terms: 17 = 5(-2 + w) + -8w 17 = (-2 * 5 + w * 5) + -8w 17 = (-10 + 5w) + -8w Combine like terms: 5w + -8w = -3w 17 = -10 + -3w Solving 17 = -10 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 17 + 3w = -10 + -3w + 3w Combine like terms: -3w + 3w = 0 17 + 3w = -10 + 0 17 + 3w = -10 Add '-17' to each side of the equation. 17 + -17 + 3w = -10 + -17 Combine like terms: 17 + -17 = 0 0 + 3w = -10 + -17 3w = -10 + -17 Combine like terms: -10 + -17 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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