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Simplifying 10w + -14 = 9w + 17 Reorder the terms: -14 + 10w = 9w + 17 Reorder the terms: -14 + 10w = 17 + 9w Solving -14 + 10w = 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. -14 + 10w + -9w = 17 + 9w + -9w Combine like terms: 10w + -9w = 1w -14 + 1w = 17 + 9w + -9w Combine like terms: 9w + -9w = 0 -14 + 1w = 17 + 0 -14 + 1w = 17 Add '14' to each side of the equation. -14 + 14 + 1w = 17 + 14 Combine like terms: -14 + 14 = 0 0 + 1w = 17 + 14 1w = 17 + 14 Combine like terms: 17 + 14 = 31 1w = 31 Divide each side by '1'. w = 31 Simplifying w = 31
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