Find the Cartesian equation of the plane through the points $A(2,–1,–4)$ and parallel to the plane $4x–12y–3z–7=0.$

The Cartesian equation of the plane through the point$A(2,–1,–4)$ and parallel to the plane

$4x–12y–3z–7=0$ is 

$4(x-2)-12(y+1)-3(z+4)=0$

$\Rightarrow 4x-8-12y-12-3z-12=0$

$\Rightarrow 4x-12y-3z-32=0$