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Simplifying 2(5m + -4n) + -1(3m + -7n) = 0 (5m * 2 + -4n * 2) + -1(3m + -7n) = 0 (10m + -8n) + -1(3m + -7n) = 0 10m + -8n + (3m * -1 + -7n * -1) = 0 10m + -8n + (-3m + 7n) = 0 Reorder the terms: 10m + -3m + -8n + 7n = 0 Combine like terms: 10m + -3m = 7m 7m + -8n + 7n = 0 Combine like terms: -8n + 7n = -1n 7m + -1n = 0 Solving 7m + -1n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 7m + -1n + n = 0 + n Combine like terms: -1n + n = 0 7m + 0 = 0 + n 7m = 0 + n Remove the zero: 7m = n Divide each side by '7'. m = 0.1428571429n Simplifying m = 0.1428571429n
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