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Simplifying 7m + 8n + -1(4n + -5m) + n = 0 Reorder the terms: 7m + 8n + -1(-5m + 4n) + n = 0 7m + 8n + (-5m * -1 + 4n * -1) + n = 0 7m + 8n + (5m + -4n) + n = 0 Reorder the terms: 7m + 5m + 8n + -4n + n = 0 Combine like terms: 7m + 5m = 12m 12m + 8n + -4n + n = 0 Combine like terms: 8n + -4n = 4n 12m + 4n + n = 0 Combine like terms: 4n + n = 5n 12m + 5n = 0 Solving 12m + 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. 12m + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 12m + 0 = 0 + -5n 12m = 0 + -5n Remove the zero: 12m = -5n Divide each side by '12'. m = -0.4166666667n Simplifying m = -0.4166666667n
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