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Simplifying 4m + 10n + 9m + 2n + -8m = 0 Reorder the terms: 4m + 9m + -8m + 10n + 2n = 0 Combine like terms: 4m + 9m = 13m 13m + -8m + 10n + 2n = 0 Combine like terms: 13m + -8m = 5m 5m + 10n + 2n = 0 Combine like terms: 10n + 2n = 12n 5m + 12n = 0 Solving 5m + 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. 5m + 12n + -12n = 0 + -12n Combine like terms: 12n + -12n = 0 5m + 0 = 0 + -12n 5m = 0 + -12n Remove the zero: 5m = -12n Divide each side by '5'. m = -2.4n Simplifying m = -2.4n
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