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Simplifying 10m + 4n + -6m + 10n = 0 Reorder the terms: 10m + -6m + 4n + 10n = 0 Combine like terms: 10m + -6m = 4m 4m + 4n + 10n = 0 Combine like terms: 4n + 10n = 14n 4m + 14n = 0 Solving 4m + 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. 4m + 14n + -14n = 0 + -14n Combine like terms: 14n + -14n = 0 4m + 0 = 0 + -14n 4m = 0 + -14n Remove the zero: 4m = -14n Divide each side by '4'. m = -3.5n Simplifying m = -3.5n
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