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Simplifying 17 = -5(3 + w) + -7 17 = (3 * -5 + w * -5) + -7 17 = (-15 + -5w) + -7 Reorder the terms: 17 = -15 + -7 + -5w Combine like terms: -15 + -7 = -22 17 = -22 + -5w Solving 17 = -22 + -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 = -22 + -5w + 5w Combine like terms: -5w + 5w = 0 17 + 5w = -22 + 0 17 + 5w = -22 Add '-17' to each side of the equation. 17 + -17 + 5w = -22 + -17 Combine like terms: 17 + -17 = 0 0 + 5w = -22 + -17 5w = -22 + -17 Combine like terms: -22 + -17 = -39 5w = -39 Divide each side by '5'. w = -7.8 Simplifying w = -7.8
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