The equation for a circle with a center of (h, k) is (x - h)² + (y - k)² = r². In our equation, -h is 10 and -k is -8. We can now solve for these variables and find out the coordinates of the center. Since -h is equal to 10, h is equal to -10. Since -k is equal to -8, k is equal to 8. That means that the center of our circle is (-10, 8)