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Simplifying 10m + 2n + -6m + 7n = 0 Reorder the terms: 10m + -6m + 2n + 7n = 0 Combine like terms: 10m + -6m = 4m 4m + 2n + 7n = 0 Combine like terms: 2n + 7n = 9n 4m + 9n = 0 Solving 4m + 9n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9n' to each side of the equation. 4m + 9n + -9n = 0 + -9n Combine like terms: 9n + -9n = 0 4m + 0 = 0 + -9n 4m = 0 + -9n Remove the zero: 4m = -9n Divide each side by '4'. m = -2.25n Simplifying m = -2.25n
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