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Simplifying 3(4m + n) + 2m = 0 (4m * 3 + n * 3) + 2m = 0 (12m + 3n) + 2m = 0 Reorder the terms: 12m + 2m + 3n = 0 Combine like terms: 12m + 2m = 14m 14m + 3n = 0 Solving 14m + 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. 14m + 3n + -3n = 0 + -3n Combine like terms: 3n + -3n = 0 14m + 0 = 0 + -3n 14m = 0 + -3n Remove the zero: 14m = -3n Divide each side by '14'. m = -0.2142857143n Simplifying m = -0.2142857143n
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