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Simplifying 12m + 6n + -5m + 10n = 0 Reorder the terms: 12m + -5m + 6n + 10n = 0 Combine like terms: 12m + -5m = 7m 7m + 6n + 10n = 0 Combine like terms: 6n + 10n = 16n 7m + 16n = 0 Solving 7m + 16n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16n' to each side of the equation. 7m + 16n + -16n = 0 + -16n Combine like terms: 16n + -16n = 0 7m + 0 = 0 + -16n 7m = 0 + -16n Remove the zero: 7m = -16n Divide each side by '7'. m = -2.285714286n Simplifying m = -2.285714286n
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