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Simplifying 17 = -5(3 + w + 7) Reorder the terms: 17 = -5(3 + 7 + w) Combine like terms: 3 + 7 = 10 17 = -5(10 + w) 17 = (10 * -5 + w * -5) 17 = (-50 + -5w) Solving 17 = -50 + -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 = -50 + -5w + 5w Combine like terms: -5w + 5w = 0 17 + 5w = -50 + 0 17 + 5w = -50 Add '-17' to each side of the equation. 17 + -17 + 5w = -50 + -17 Combine like terms: 17 + -17 = 0 0 + 5w = -50 + -17 5w = -50 + -17 Combine like terms: -50 + -17 = -67 5w = -67 Divide each side by '5'. w = -13.4 Simplifying w = -13.4
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