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Simplifying 3m + 5n + 4m + 7n = 0 Reorder the terms: 3m + 4m + 5n + 7n = 0 Combine like terms: 3m + 4m = 7m 7m + 5n + 7n = 0 Combine like terms: 5n + 7n = 12n 7m + 12n = 0 Solving 7m + 12n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12n' to each side of the equation. 7m + 12n + -12n = 0 + -12n Combine like terms: 12n + -12n = 0 7m + 0 = 0 + -12n 7m = 0 + -12n Remove the zero: 7m = -12n Divide each side by '7'. m = -1.714285714n Simplifying m = -1.714285714n
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