The complex numbers a and b satisfy $a \overline{b} + 2 - 8i = -1 + 5i$. Find $\overline{a} b - 5 + 7i$.
\(ab+2-8i=-1+5i\) is also equal to \(ab=-3+13i\) and then you would have a new equation of \(-3+13i-5+7i \)
So your answer would be \(-8+20i\)