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Simplifying 12m + 3n + -6m + 9n = 0 Reorder the terms: 12m + -6m + 3n + 9n = 0 Combine like terms: 12m + -6m = 6m 6m + 3n + 9n = 0 Combine like terms: 3n + 9n = 12n 6m + 12n = 0 Solving 6m + 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. 6m + 12n + -12n = 0 + -12n Combine like terms: 12n + -12n = 0 6m + 0 = 0 + -12n 6m = 0 + -12n Remove the zero: 6m = -12n Divide each side by '6'. m = -2n Simplifying m = -2n
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