To do this, we will multiply the first equation by 2 and the second equation by 3, then add them together. This gives us:
$$
\begin{array}{r}
6 u-4 v+6 w=22 \\
6 u+9 v-6 w=-15 \\
\end{array}
$$
Adding these two equations together, we get $12u + 5v = 7$.
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