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Simplifying 14m + 7n + -1(10m + -3n) = 0 14m + 7n + (10m * -1 + -3n * -1) = 0 14m + 7n + (-10m + 3n) = 0 Reorder the terms: 14m + -10m + 7n + 3n = 0 Combine like terms: 14m + -10m = 4m 4m + 7n + 3n = 0 Combine like terms: 7n + 3n = 10n 4m + 10n = 0 Solving 4m + 10n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10n' to each side of the equation. 4m + 10n + -10n = 0 + -10n Combine like terms: 10n + -10n = 0 4m + 0 = 0 + -10n 4m = 0 + -10n Remove the zero: 4m = -10n Divide each side by '4'. m = -2.5n Simplifying m = -2.5n
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