What is the solution of 82.78(p+11.892)=72.8464 when solving for p ? Do not round your answer.(1 point)

Question

p=

Answer 1

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

1. Divide both sides by 82.78 to isolate \( (p + 11.892) \):

   \[ p + 11.892 = \frac{72.8464}{82.78} \]

   Calculating the right-hand side:

   \[ \frac{72.8464}{82.78} \approx 0.8800 \]

2. Subtract 11.892 from both sides to solve for \( p \):

   \[ p = 0.8800 - 11.892 \]

   Performing the subtraction:

   \[ p \approx 0.8800 - 11.892 = -11.012 \]

Thus, the solution for \( p \) is:

\[ \boxed{-11.012} \]