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Simplifying 9w + -35 = 14w Reorder the terms: -35 + 9w = 14w Solving -35 + 9w = 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -35 + 9w + -14w = 14w + -14w Combine like terms: 9w + -14w = -5w -35 + -5w = 14w + -14w Combine like terms: 14w + -14w = 0 -35 + -5w = 0 Add '35' to each side of the equation. -35 + 35 + -5w = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -5w = 0 + 35 -5w = 0 + 35 Combine like terms: 0 + 35 = 35 -5w = 35 Divide each side by '-5'. w = -7 Simplifying w = -7
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