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Simplifying 14m + 6n + -5m + 7n = 0 Reorder the terms: 14m + -5m + 6n + 7n = 0 Combine like terms: 14m + -5m = 9m 9m + 6n + 7n = 0 Combine like terms: 6n + 7n = 13n 9m + 13n = 0 Solving 9m + 13n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13n' to each side of the equation. 9m + 13n + -13n = 0 + -13n Combine like terms: 13n + -13n = 0 9m + 0 = 0 + -13n 9m = 0 + -13n Remove the zero: 9m = -13n Divide each side by '9'. m = -1.444444444n Simplifying m = -1.444444444n
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