Questions: Question 3(Multiple Choice Worth 2 points) (Evaluating Equations MC) Determine which answer in the solution set will make the equation true. 2 p+9=4 p-13 S:-11,0,11,22 -11 0 11 22

Question 3(Multiple Choice Worth 2 points) (Evaluating Equations MC) Determine which answer in the solution set will make the equation true. 2 p+9=4 p-13 S:-11,0,11,22 -11 0 11 22
Transcript text: Question 3(Multiple Choice Worth 2 points) (Evaluating Equations MC) Determine which answer in the solution set will make the equation true. \[ \begin{array}{l} 2 p+9=4 p-13 \\ S:\{-11,0,11,22\} \end{array} \] -11 0 11 22
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Solution

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Solution Steps

Step 1: Solve the equation for \( p \)

We start with the equation: \[ 2p + 9 = 4p - 13 \]

Subtract \( 2p \) from both sides to isolate the terms involving \( p \): \[ 9 = 2p - 13 \]

Step 2: Solve for \( p \)

Add \( 13 \) to both sides to isolate the term with \( p \): \[ 22 = 2p \]

Divide both sides by \( 2 \) to solve for \( p \): \[ p = 11 \]

Step 3: Check the solution set

The solution set \( S \) is given as \( \{-11, 0, 11, 22\} \). From the calculation above, we find that \( p = 11 \) is the solution that satisfies the equation.

Final Answer

\[ \boxed{11} \]

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