If the system of linear equations
$
\begin{aligned}
& 2 x+y-z=7 \\
& x-3 y+2 z=1 \\
& x+4 y+\delta z=k, \text { where } \delta, k \in R
\end{aligned}
$
has infinitely many solutions, then $\delta+\mathrm{k}$ is equal to:
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