Answer
$-33i+13j$.
Work Step by Step
Put $u=-2i+3j,v=6i-j$, $w=-3i$ in the expression $3u-\left( 4v-w \right)$. Then,
$\begin{align}
& 3u-\left( 4v-w \right)=3\left( -2i+3j \right)-\left( 4\left( 6i-j \right)-\left( -3i \right) \right) \\
& =-6i+9j-\left( \left( 24i-4j \right)+3i \right) \\
& =-6i+9j-27i+4j \\
& =-33i+13j
\end{align}$
