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Simplifying 17 = -5(3 + w) * 7 Reorder the terms for easier multiplication: 17 = -5 * 7(3 + w) Multiply -5 * 7 17 = -35(3 + w) 17 = (3 * -35 + w * -35) 17 = (-105 + -35w) Solving 17 = -105 + -35w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '35w' to each side of the equation. 17 + 35w = -105 + -35w + 35w Combine like terms: -35w + 35w = 0 17 + 35w = -105 + 0 17 + 35w = -105 Add '-17' to each side of the equation. 17 + -17 + 35w = -105 + -17 Combine like terms: 17 + -17 = 0 0 + 35w = -105 + -17 35w = -105 + -17 Combine like terms: -105 + -17 = -122 35w = -122 Divide each side by '35'. w = -3.485714286 Simplifying w = -3.485714286
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