### Instruction: What is $a-2b$, where $a=4-2i$ and $b=3+2i$?### Response: Ok, so we have $a-2b$.
We know that $a=4-2i$ and $b=3+2i$.
So let's substitute and get: $(4-2i)-2(3+2i)$.
Now we distribute the $-2$ and get: $(4-2i)-6-4i$.
Now we combine like terms and get: $-2-6i$.
Finally, we simplify and get: $-2(1+3i)$.