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$\large\mathfrak R=\displaystyle\sum_{x=1}^{\infty}\dfrac{x^5-9x}{x^8-3x^6+27x^2-81}$

If $\mathfrak R$ can be written in the form $\dfrac pq$, where $p$ and $q$ are coprime positive integers, find $|p-q|$.

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