The given expression is \(4p + 9 + (-7p) + 2\). We need to combine the like terms, which are the terms involving \(p\) and the constant terms.
First, combine the terms involving \(p\): \[ 4p + (-7p) = 4p - 7p = -3p \]
Next, combine the constant terms: \[ 9 + 2 = 11 \]
Combine the results from the previous steps: \[ -3p + 11 \]
The simplified expression is \(\boxed{-3p + 11}\). Therefore, the answer is D.
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