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Simplifying 14w + -8 = 9w + -24 Reorder the terms: -8 + 14w = 9w + -24 Reorder the terms: -8 + 14w = -24 + 9w Solving -8 + 14w = -24 + 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 + 14w + -9w = -24 + 9w + -9w Combine like terms: 14w + -9w = 5w -8 + 5w = -24 + 9w + -9w Combine like terms: 9w + -9w = 0 -8 + 5w = -24 + 0 -8 + 5w = -24 Add '8' to each side of the equation. -8 + 8 + 5w = -24 + 8 Combine like terms: -8 + 8 = 0 0 + 5w = -24 + 8 5w = -24 + 8 Combine like terms: -24 + 8 = -16 5w = -16 Divide each side by '5'. w = -3.2 Simplifying w = -3.2
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