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Simplifying 17 = -5(3 + -1w) + 7 17 = (3 * -5 + -1w * -5) + 7 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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