To simplify the expression \( 4 + (-6) \cdot 2 - (-3)^2 \), we will proceed step-by-step:
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Evaluate \((-6) \cdot 2\): \[ (-6) \cdot 2 = -12 \]
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Evaluate \((-3)^2\): \[ (-3)^2 = 9 \]
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Substitute these values back into the expression: \[ 4 + (-12) - 9 \]
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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.