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Simplifying 8m + 5n + -6m + 7n = 0 Reorder the terms: 8m + -6m + 5n + 7n = 0 Combine like terms: 8m + -6m = 2m 2m + 5n + 7n = 0 Combine like terms: 5n + 7n = 12n 2m + 12n = 0 Solving 2m + 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. 2m + 12n + -12n = 0 + -12n Combine like terms: 12n + -12n = 0 2m + 0 = 0 + -12n 2m = 0 + -12n Remove the zero: 2m = -12n Divide each side by '2'. m = -6n Simplifying m = -6n
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