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Simplifying 6(3m + 2n) = 0 (3m * 6 + 2n * 6) = 0 (18m + 12n) = 0 Solving 18m + 12n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12n' to each side of the equation. 18m + 12n + -12n = 0 + -12n Combine like terms: 12n + -12n = 0 18m + 0 = 0 + -12n 18m = 0 + -12n Remove the zero: 18m = -12n Divide each side by '18'. m = -0.6666666667n Simplifying m = -0.6666666667n
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