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Simplifying 12m + -3n + -5m + 8n = 0 Reorder the terms: 12m + -5m + -3n + 8n = 0 Combine like terms: 12m + -5m = 7m 7m + -3n + 8n = 0 Combine like terms: -3n + 8n = 5n 7m + 5n = 0 Solving 7m + 5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5n' to each side of the equation. 7m + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 7m + 0 = 0 + -5n 7m = 0 + -5n Remove the zero: 7m = -5n Divide each side by '7'. m = -0.7142857143n Simplifying m = -0.7142857143n
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