Questions: Simplify this expression: 4 p+9+(-7 p)+2 A) 3 p+7 B) 3 p+11 C) 11 p+11 D) -3 p+11

Simplify this expression: 4 p+9+(-7 p)+2
A) 3 p+7
B) 3 p+11
C) 11 p+11
D) -3 p+11
Transcript text: Simplify this expression: $4 p+9+(-7 p)+2$ A) $3 p+7$ B) $3 p+11$ C) $11 p+11$ D) $-3 p+11$
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Solution

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Solution Steps

Step 1: Combine Like Terms

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.

Step 2: Simplify the Expression

First, combine the terms involving \(p\): \[ 4p + (-7p) = 4p - 7p = -3p \]

Next, combine the constant terms: \[ 9 + 2 = 11 \]

Step 3: Write the Simplified Expression

Combine the results from the previous steps: \[ -3p + 11 \]

Final Answer

The simplified expression is \(\boxed{-3p + 11}\). Therefore, the answer is D.

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