If the system of linear equations
$
\begin{aligned}
& x+y+3 z=0 \\
& x+3 y+k^2 z=0 \\
& 3 x+y+3 z=0
\end{aligned}
$
has a non-zero solution $(x, y, z)$ for some $k \in R$, then $x+\left(\frac{y}{z}\right)$ is equal to
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