To simplify the expression \(-84 - (-45)\), we first recognize that subtracting a negative number is the same as adding its positive counterpart.
So, we can rewrite the expression as:
\[ -84 + 45 \]
Now, we perform the addition:
\[ -84 + 45 = -39 \]
Thus, the simplified expression is:
\[ \boxed{-39} \]