Simplify $(9-4i)-(-3-4i)$.
I recognize that this is a problem involving complex numbers, where $i$ is the imaginary unit that satisfies $i^2=-1$. To simplify a complex number subtraction, I can distribute the negative sign to the second term and then combine the real and imaginary parts separately. That is, $(9-4i)-(-3-4i) = 9-4i+3+4i$. Now I can combine the real parts and the imaginary parts. The real parts are $9$ and $3$, which add up to $12$. The imaginary parts are $-4i$ and $4i$, which cancel out and leave zero. So the simplified expression is $12+0i$, or just $12$. 