What is the solution of 82.78(p+11.892)=72.8464

Question

when solving for p
? Do not round your answer.(1 point)

Answer 1

To solve the equation \( 82.78(p + 11.892) = 72.8464 \) for \( p \), follow these steps:

1. Start with the equation: \[ 82.78(p + 11.892) = 72.8464 \]

2. Divide both sides by \( 82.78 \) to isolate \( p + 11.892 \): \[ p + 11.892 = \frac{72.8464}{82.78} \]

3. Calculate the right side: \[ p + 11.892 = 0.880 \]

4. Now, subtract \( 11.892 \) from both sides to solve for \( p \): \[ p = 0.880 - 11.892 \]

5. Perform the subtraction: \[ p = -11.012 \]

Thus, the solution for \( p \) is: \[ \boxed{-11.012} \]