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Simplifying 12w + 8 = 9w + 17 Reorder the terms: 8 + 12w = 9w + 17 Reorder the terms: 8 + 12w = 17 + 9w Solving 8 + 12w = 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. 8 + 12w + -9w = 17 + 9w + -9w Combine like terms: 12w + -9w = 3w 8 + 3w = 17 + 9w + -9w Combine like terms: 9w + -9w = 0 8 + 3w = 17 + 0 8 + 3w = 17 Add '-8' to each side of the equation. 8 + -8 + 3w = 17 + -8 Combine like terms: 8 + -8 = 0 0 + 3w = 17 + -8 3w = 17 + -8 Combine like terms: 17 + -8 = 9 3w = 9 Divide each side by '3'. w = 3 Simplifying w = 3
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