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Simplifying 15w + -25 = 9w + 17 Reorder the terms: -25 + 15w = 9w + 17 Reorder the terms: -25 + 15w = 17 + 9w Solving -25 + 15w = 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. -25 + 15w + -9w = 17 + 9w + -9w Combine like terms: 15w + -9w = 6w -25 + 6w = 17 + 9w + -9w Combine like terms: 9w + -9w = 0 -25 + 6w = 17 + 0 -25 + 6w = 17 Add '25' to each side of the equation. -25 + 25 + 6w = 17 + 25 Combine like terms: -25 + 25 = 0 0 + 6w = 17 + 25 6w = 17 + 25 Combine like terms: 17 + 25 = 42 6w = 42 Divide each side by '6'. w = 7 Simplifying w = 7
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