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 \(-9\).