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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 = 5 -5w = 5 Divide each side by '-5'. w = -1 Simplifying w = -1
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