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To simplify the expression and find the simplified denominator, we first need to understand the parts of the expression:
The expression given is:
\[
4 + (-6) \cdot 2 / -(-3)^2
\]
We can break this down, particularly focusing on the denominator.
1. First, calculate \((-3)^2\):
\[
(-3)^2 = 9
\]
2. Now, evaluate the expression for the denominator:
\[
-(-3)^2 \text{ becomes } -9
\]
So, the full expression becomes:
\[
4 + (-6) \cdot 2 / -9
\]
The denominator in this case is \(-9\). Therefore, the simplified denominator is:
\[
\boxed{-9}
\]