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Simplifying 4w + 7 = 9w + 17 Reorder the terms: 7 + 4w = 9w + 17 Reorder the terms: 7 + 4w = 17 + 9w Solving 7 + 4w = 17 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 7 + 4w + -9w = 17 + 9w + -9w Combine like terms: 4w + -9w = -5w 7 + -5w = 17 + 9w + -9w Combine like terms: 9w + -9w = 0 7 + -5w = 17 + 0 7 + -5w = 17 Add '-7' to each side of the equation. 7 + -7 + -5w = 17 + -7 Combine like terms: 7 + -7 = 0 0 + -5w = 17 + -7 -5w = 17 + -7 Combine like terms: 17 + -7 = 10 -5w = 10 Divide each side by '-5'. w = -2 Simplifying w = -2
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