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Simplifying 17 = -15 + (-5w) + 7 Reorder the terms: 17 = -15 + 7 + (-5w) Combine like terms: -15 + 7 = -8 17 = -8 + (-5w) Solving 17 = -8 + (-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. 17 + (5w) = -8 + (-5w) + (5w) Combine like terms: (-5w) + (5w) = 0 17 + (5w) = -8 + 0 17 + (5w) = -8 Add '-17' to each side of the equation. 17 + -17 + (5w) = -8 + -17 Combine like terms: 17 + -17 = 0 0 + (5w) = -8 + -17 (5w) = -8 + -17 Combine like terms: -8 + -17 = -25 (5w) = -25 Divide each side by '5'. w = -5 Simplifying w = -5
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