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Simplifying 6m + 2n + 9m + 8n = 0 Reorder the terms: 6m + 9m + 2n + 8n = 0 Combine like terms: 6m + 9m = 15m 15m + 2n + 8n = 0 Combine like terms: 2n + 8n = 10n 15m + 10n = 0 Solving 15m + 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. 15m + 10n + -10n = 0 + -10n Combine like terms: 10n + -10n = 0 15m + 0 = 0 + -10n 15m = 0 + -10n Remove the zero: 15m = -10n Divide each side by '15'. m = -0.6666666667n Simplifying m = -0.6666666667n
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