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Simplifying 17 = -5(3 + w) + 8 17 = (3 * -5 + w * -5) + 8 17 = (-15 + -5w) + 8 Reorder the terms: 17 = -15 + 8 + -5w Combine like terms: -15 + 8 = -7 17 = -7 + -5w Solving 17 = -7 + -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 = -7 + -5w + 5w Combine like terms: -5w + 5w = 0 17 + 5w = -7 + 0 17 + 5w = -7 Add '-17' to each side of the equation. 17 + -17 + 5w = -7 + -17 Combine like terms: 17 + -17 = 0 0 + 5w = -7 + -17 5w = -7 + -17 Combine like terms: -7 + -17 = -24 5w = -24 Divide each side by '5'. w = -4.8 Simplifying w = -4.8
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