Answer
$$w=2u-3v
=(-2,-4,-9,1).$$
Work Step by Step
Let $u=(1,-1,0,,1)$, $v=(0,2,3,-1)$.
Since $ w+3v=-2u$, then we have
$$w=2u-3v=-2(1,-1,0,1)-3(0,2,3,-1))
=(-2,-4,-9,1).$$
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