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Simplifying 10m + 4n + -5m + 7m = 0 Reorder the terms: 10m + -5m + 7m + 4n = 0 Combine like terms: 10m + -5m = 5m 5m + 7m + 4n = 0 Combine like terms: 5m + 7m = 12m 12m + 4n = 0 Solving 12m + 4n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. 12m + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 12m + 0 = 0 + -4n 12m = 0 + -4n Remove the zero: 12m = -4n Divide each side by '12'. m = -0.3333333333n Simplifying m = -0.3333333333n
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