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Simplifying 9w + 17 = 6w + 32 Reorder the terms: 17 + 9w = 6w + 32 Reorder the terms: 17 + 9w = 32 + 6w Solving 17 + 9w = 32 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 17 + 9w + -6w = 32 + 6w + -6w Combine like terms: 9w + -6w = 3w 17 + 3w = 32 + 6w + -6w Combine like terms: 6w + -6w = 0 17 + 3w = 32 + 0 17 + 3w = 32 Add '-17' to each side of the equation. 17 + -17 + 3w = 32 + -17 Combine like terms: 17 + -17 = 0 0 + 3w = 32 + -17 3w = 32 + -17 Combine like terms: 32 + -17 = 15 3w = 15 Divide each side by '3'. w = 5 Simplifying w = 5
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