\[ \begin{array} { l l l l l }

& &P & P & Q \\
& &P & Q & Q \\
+ && Q & Q & Q \\
\hline
& & 8 & 7 & 6 \\
\end{array} \]

In the sum shown above, \(P\) and \(Q\) each represent a digit. What is the value of \(P+Q\)?

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