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To simplify the denominator of the expression \( 4 + (-6) \cdot 2 / -(-3)^2 \), we focus on the part \(-(-3)^2\).
Let's calculate \((-3)^2\):
\[
(-3)^2 = 9
\]
Now, applying the negative sign:
\[
-(-3)^2 = -9
\]
So the simplified denominator is \(-9\).