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Simplifying 9w + 17 = 7 + -4w Reorder the terms: 17 + 9w = 7 + -4w Solving 17 + 9w = 7 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 17 + 9w + 4w = 7 + -4w + 4w Combine like terms: 9w + 4w = 13w 17 + 13w = 7 + -4w + 4w Combine like terms: -4w + 4w = 0 17 + 13w = 7 + 0 17 + 13w = 7 Add '-17' to each side of the equation. 17 + -17 + 13w = 7 + -17 Combine like terms: 17 + -17 = 0 0 + 13w = 7 + -17 13w = 7 + -17 Combine like terms: 7 + -17 = -10 13w = -10 Divide each side by '13'. w = -0.7692307692 Simplifying w = -0.7692307692
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