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Simplifying 84n + -12m + 3(12n + -5m) = 0 Reorder the terms: 84n + -12m + 3(-5m + 12n) = 0 84n + -12m + (-5m * 3 + 12n * 3) = 0 84n + -12m + (-15m + 36n) = 0 Reorder the terms: -12m + -15m + 84n + 36n = 0 Combine like terms: -12m + -15m = -27m -27m + 84n + 36n = 0 Combine like terms: 84n + 36n = 120n -27m + 120n = 0 Solving -27m + 120n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-120n' to each side of the equation. -27m + 120n + -120n = 0 + -120n Combine like terms: 120n + -120n = 0 -27m + 0 = 0 + -120n -27m = 0 + -120n Remove the zero: -27m = -120n Divide each side by '-27'. m = 4.444444444n Simplifying m = 4.444444444n
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