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Simplifying 14w + -10 = 9w + 15 Reorder the terms: -10 + 14w = 9w + 15 Reorder the terms: -10 + 14w = 15 + 9w Solving -10 + 14w = 15 + 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. -10 + 14w + -9w = 15 + 9w + -9w Combine like terms: 14w + -9w = 5w -10 + 5w = 15 + 9w + -9w Combine like terms: 9w + -9w = 0 -10 + 5w = 15 + 0 -10 + 5w = 15 Add '10' to each side of the equation. -10 + 10 + 5w = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 5w = 15 + 10 5w = 15 + 10 Combine like terms: 15 + 10 = 25 5w = 25 Divide each side by '5'. w = 5 Simplifying w = 5
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