Answer
$8x+y-2z=31$
Work Step by Step
The general form of the equation of the plane passing through the point $(a,b,c)$ and having normal vector $\lt l,m,n\gt$ is:
$l(x-a)+m(y-b)+n(z-c)=0$
Thus the equation of the plane is:
$-16(x-3)-2(y-5)+4(z+1)=0$
After simplification, we get
$-16x-2y+4z+62=0$
Or, $8x+y-2z=31$