# Can you make it the best?

Let $$(x, y, z)$$ be any one positive integral solution to
$\large\ \dfrac{1}{a} + \dfrac{1}{b} = \dfrac{2^n}{3^n}$ where $$(a,b,n)$$ are positive integers, such that $$x + y +z$$ is maximal.

Find the value of $$x + y +z$$.

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