Let's simplify the expression step by step:
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Start by calculating the first part: \[ 4 + (-6) \cdot 2. \] Here, we multiply \(-6\) by \(2\): \[ -6 \cdot 2 = -12. \] Now, add \(4\) to \(-12\): \[ 4 + (-12) = 4 - 12 = -8. \]
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Next, simplify the second part: \[ -(-3)^2. \] First, we calculate \((-3)^2\): \[ (-3) \cdot (-3) = 9. \] Now, we apply the negative sign in front: \[ -9. \]
Now we can represent the entire expression: \[ -8 \quad \text{ and } \quad -9. \]
If these are part of a fraction (assuming based on your question that you might be looking for a denominator), the denominator is \(-9\).
So the simplified denominator is: \[ \boxed{-9}. \]
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