If the system of linear equations :
$$
\begin{aligned}
& x+y+2 z=6 \\
& 2 x+3 y+a z=a+1 \\
& -x-3 y+b z=2 b
\end{aligned}
$$
where $a, b \in \mathbf{R}$, has infinitely many solutions, then $7 a+3 b$ is equal to:
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