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Simplifying 5m + 4(2m + 5n) = 0 5m + (2m * 4 + 5n * 4) = 0 5m + (8m + 20n) = 0 Combine like terms: 5m + 8m = 13m 13m + 20n = 0 Solving 13m + 20n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20n' to each side of the equation. 13m + 20n + -20n = 0 + -20n Combine like terms: 20n + -20n = 0 13m + 0 = 0 + -20n 13m = 0 + -20n Remove the zero: 13m = -20n Divide each side by '13'. m = -1.538461538n Simplifying m = -1.538461538n
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