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Simplifying 8m + 7n + -2(3m + -9n) = 0 8m + 7n + (3m * -2 + -9n * -2) = 0 8m + 7n + (-6m + 18n) = 0 Reorder the terms: 8m + -6m + 7n + 18n = 0 Combine like terms: 8m + -6m = 2m 2m + 7n + 18n = 0 Combine like terms: 7n + 18n = 25n 2m + 25n = 0 Solving 2m + 25n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-25n' to each side of the equation. 2m + 25n + -25n = 0 + -25n Combine like terms: 25n + -25n = 0 2m + 0 = 0 + -25n 2m = 0 + -25n Remove the zero: 2m = -25n Divide each side by '2'. m = -12.5n Simplifying m = -12.5n
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