To simplify the expression \( 4 + (-6) \cdot 2 - (-3)^2 \), we will proceed step-by-step:
1. **Evaluate \((-6) \cdot 2\)**:
\[
(-6) \cdot 2 = -12
\]
2. **Evaluate \((-3)^2\)**:
\[
(-3)^2 = 9
\]
3. **Substitute these values back into the expression**:
\[
4 + (-12) - 9
\]
4. **Simplify the expression**:
\[
4 - 12 - 9
\]
Now calculate \(4 - 12\):
\[
4 - 12 = -8
\]
Now calculate \(-8 - 9\):
\[
-8 - 9 = -17
\]
Thus, the simplified expression is \(-17\).
As for the "simplified denominator," assuming this was a misunderstanding because the expression doesn't contain a fraction, the answer is just the final simplified result:
\[
-17
\]
If you meant to ask for any component involving a denominator, please clarify your question.