Information given:
Center at (-6, 5)
Radius= 8 units.
A circle is represented by the following expression:
[tex]\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ \text{where, } \\ (h,k)\text{ is th center} \\ r\text{ is the radius} \end{gathered}[/tex]Then, the equation of this circle would be:
[tex](x+6)+(y-5)=8^2[/tex]