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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 = -5w 17 + -5w = 7 + -4w + 4w Combine like terms: -4w + 4w = 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 = -10 -5w = -10 Divide each side by '-5'. w = 2 Simplifying w = 2
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