$$\langle -8,-18,-2 \rangle.$$
Work Step by Step
$$-2\langle 8,11,3 \rangle+4\langle 2,1,1 \rangle=\langle -16,-22,-6 \rangle+\langle 8,4,4 \rangle\\ =\langle -8,-18,-2 \rangle.$$
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