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Simplifying 6m + 5n + -2m + 7n = 0 Reorder the terms: 6m + -2m + 5n + 7n = 0 Combine like terms: 6m + -2m = 4m 4m + 5n + 7n = 0 Combine like terms: 5n + 7n = 12n 4m + 12n = 0 Solving 4m + 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. 4m + 12n + -12n = 0 + -12n Combine like terms: 12n + -12n = 0 4m + 0 = 0 + -12n 4m = 0 + -12n Remove the zero: 4m = -12n Divide each side by '4'. m = -3n Simplifying m = -3n
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