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Simplifying 6m + -1n + -4m + -1(5n + -1m) = 0 Reorder the terms: 6m + -1n + -4m + -1(-1m + 5n) = 0 6m + -1n + -4m + (-1m * -1 + 5n * -1) = 0 6m + -1n + -4m + (1m + -5n) = 0 Reorder the terms: 6m + -4m + 1m + -1n + -5n = 0 Combine like terms: 6m + -4m = 2m 2m + 1m + -1n + -5n = 0 Combine like terms: 2m + 1m = 3m 3m + -1n + -5n = 0 Combine like terms: -1n + -5n = -6n 3m + -6n = 0 Solving 3m + -6n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6n' to each side of the equation. 3m + -6n + 6n = 0 + 6n Combine like terms: -6n + 6n = 0 3m + 0 = 0 + 6n 3m = 0 + 6n Remove the zero: 3m = 6n Divide each side by '3'. m = 2n Simplifying m = 2n
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