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Simplifying 12m + 4n + -2m + 10n = 0 Reorder the terms: 12m + -2m + 4n + 10n = 0 Combine like terms: 12m + -2m = 10m 10m + 4n + 10n = 0 Combine like terms: 4n + 10n = 14n 10m + 14n = 0 Solving 10m + 14n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14n' to each side of the equation. 10m + 14n + -14n = 0 + -14n Combine like terms: 14n + -14n = 0 10m + 0 = 0 + -14n 10m = 0 + -14n Remove the zero: 10m = -14n Divide each side by '10'. m = -1.4n Simplifying m = -1.4n
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