Answer
$(52, 14, 34)$
Work Step by Step
$2[\vec{b}+4 (\vec{a}+\vec{c})]=2\vec{b}+8 \vec{a} +8 \vec{c} \\=2(2,-1,9)+8(5,1,0)+8(1,1,2) \\=(4,-2,18)+(40,8,0)+(8, 8, 16) \\=(4+40+8, -2+8+8, 18+0+16)\\=(52, 14, 34)$
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