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Simplifying 3(n + 4m) + -2(3n + 4m) = 0 Reorder the terms: 3(4m + n) + -2(3n + 4m) = 0 (4m * 3 + n * 3) + -2(3n + 4m) = 0 (12m + 3n) + -2(3n + 4m) = 0 Reorder the terms: 12m + 3n + -2(4m + 3n) = 0 12m + 3n + (4m * -2 + 3n * -2) = 0 12m + 3n + (-8m + -6n) = 0 Reorder the terms: 12m + -8m + 3n + -6n = 0 Combine like terms: 12m + -8m = 4m 4m + 3n + -6n = 0 Combine like terms: 3n + -6n = -3n 4m + -3n = 0 Solving 4m + -3n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3n' to each side of the equation. 4m + -3n + 3n = 0 + 3n Combine like terms: -3n + 3n = 0 4m + 0 = 0 + 3n 4m = 0 + 3n Remove the zero: 4m = 3n Divide each side by '4'. m = 0.75n Simplifying m = 0.75n
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