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Simplifying 6(m + -2n) + -1(4m + -5n) = 0 (m * 6 + -2n * 6) + -1(4m + -5n) = 0 (6m + -12n) + -1(4m + -5n) = 0 6m + -12n + (4m * -1 + -5n * -1) = 0 6m + -12n + (-4m + 5n) = 0 Reorder the terms: 6m + -4m + -12n + 5n = 0 Combine like terms: 6m + -4m = 2m 2m + -12n + 5n = 0 Combine like terms: -12n + 5n = -7n 2m + -7n = 0 Solving 2m + -7n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7n' to each side of the equation. 2m + -7n + 7n = 0 + 7n Combine like terms: -7n + 7n = 0 2m + 0 = 0 + 7n 2m = 0 + 7n Remove the zero: 2m = 7n Divide each side by '2'. m = 3.5n Simplifying m = 3.5n
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