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Simplifying -12(5n + -6m) + 14n + -2m = 0 Reorder the terms: -12(-6m + 5n) + 14n + -2m = 0 (-6m * -12 + 5n * -12) + 14n + -2m = 0 (72m + -60n) + 14n + -2m = 0 Reorder the terms: 72m + -2m + -60n + 14n = 0 Combine like terms: 72m + -2m = 70m 70m + -60n + 14n = 0 Combine like terms: -60n + 14n = -46n 70m + -46n = 0 Solving 70m + -46n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '46n' to each side of the equation. 70m + -46n + 46n = 0 + 46n Combine like terms: -46n + 46n = 0 70m + 0 = 0 + 46n 70m = 0 + 46n Remove the zero: 70m = 46n Divide each side by '70'. m = 0.6571428571n Simplifying m = 0.6571428571n
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