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To simplify the denominator of the expression \( 4 + (-6) \cdot 2 / -(-3)^2 \), we first need to evaluate the denominator:
\[
-(-3)^2
\]
First, calculate \( (-3)^2 \):
\[
(-3)^2 = 9
\]
Now substitute this back into the expression for the denominator:
\[
-(-3)^2 = -9
\]
Thus, the simplified denominator is:
\[
-9
\]