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Simplifying -12(5n + -6m) + 14n + -2n = 0 Reorder the terms: -12(-6m + 5n) + 14n + -2n = 0 (-6m * -12 + 5n * -12) + 14n + -2n = 0 (72m + -60n) + 14n + -2n = 0 Combine like terms: -60n + 14n = -46n 72m + -46n + -2n = 0 Combine like terms: -46n + -2n = -48n 72m + -48n = 0 Solving 72m + -48n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '48n' to each side of the equation. 72m + -48n + 48n = 0 + 48n Combine like terms: -48n + 48n = 0 72m + 0 = 0 + 48n 72m = 0 + 48n Remove the zero: 72m = 48n Divide each side by '72'. m = 0.6666666667n Simplifying m = 0.6666666667n
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