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Simplifying 2m + 3n + 6m + 7n = 0 Reorder the terms: 2m + 6m + 3n + 7n = 0 Combine like terms: 2m + 6m = 8m 8m + 3n + 7n = 0 Combine like terms: 3n + 7n = 10n 8m + 10n = 0 Solving 8m + 10n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10n' to each side of the equation. 8m + 10n + -10n = 0 + -10n Combine like terms: 10n + -10n = 0 8m + 0 = 0 + -10n 8m = 0 + -10n Remove the zero: 8m = -10n Divide each side by '8'. m = -1.25n Simplifying m = -1.25n
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