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.
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First, calculate \((-3)^2\): \[ (-3)^2 = 9 \]
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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:
\[ \boxed{-9} \]