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Simplifying 12m + 4w + w + (-5m) + 9w = 0 Reorder the terms: 12m + (-5m) + 4w + w + 9w = 0 Combine like terms: 12m + (-5m) = 7m 7m + 4w + w + 9w = 0 Combine like terms: 4w + w = 5w 7m + 5w + 9w = 0 Combine like terms: 5w + 9w = 14w 7m + 14w = 0 Solving 7m + 14w = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14w' to each side of the equation. 7m + 14w + -14w = 0 + -14w Combine like terms: 14w + -14w = 0 7m + 0 = 0 + -14w 7m = 0 + -14w Remove the zero: 7m = -14w Divide each side by '7'. m = -2w Simplifying m = -2w
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