Step-by-step explanation:
Centre of the circle ( h,k)=(-3,7)
radius of the circle (r)=8
Equation of the circle is,
(x-h)^2+(y-k)^2=r^2
or,(x+3)^2+(y-7)=8^2
or,x^2+6x+9+y^2-2y+49=64
or,x^2+y^2+6x-2y+58-64=0
or,x^2+y^2+6x-2y-6=0 is the required equation of the circle