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Simplifying 2m + 4n + 6m + 7n = 0 Reorder the terms: 2m + 6m + 4n + 7n = 0 Combine like terms: 2m + 6m = 8m 8m + 4n + 7n = 0 Combine like terms: 4n + 7n = 11n 8m + 11n = 0 Solving 8m + 11n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11n' to each side of the equation. 8m + 11n + -11n = 0 + -11n Combine like terms: 11n + -11n = 0 8m + 0 = 0 + -11n 8m = 0 + -11n Remove the zero: 8m = -11n Divide each side by '8'. m = -1.375n Simplifying m = -1.375n
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