Write the equation of a circle with a center at (-7, - 7) and a radius of 7

The equation of a circle with center at (h, k) and radius 7 is

(x-h) ^2 + (y-k) ^2 = r^2. Let's substitute the given values:

(x-[-7]) ^2 + (y-[-7]) ^2 = 7^2.

Simplifying, (x+7) ^2 + (y+7) ^2 = 49. This is the equation of the given circle.