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Yes I have tried this method but there is a problem at the numerator. If we do this Simplify[expr, {n1 == n2, n1 + n2 == n}] we obtain (n2 (2 A - 2 c + \[Gamma]1 + \[Gamma]2))/(b (1 + n1 + n2)) At the numerator n1 disappears