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Simplifying 10m + 5n + -5m + 9n = 0 Reorder the terms: 10m + -5m + 5n + 9n = 0 Combine like terms: 10m + -5m = 5m 5m + 5n + 9n = 0 Combine like terms: 5n + 9n = 14n 5m + 14n = 0 Solving 5m + 14n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14n' to each side of the equation. 5m + 14n + -14n = 0 + -14n Combine like terms: 14n + -14n = 0 5m + 0 = 0 + -14n 5m = 0 + -14n Remove the zero: 5m = -14n Divide each side by '5'. m = -2.8n Simplifying m = -2.8n
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