To solve the equation \( 82.78(p + 11.892) = 72.8464 \) for \( p \), follow these steps:
- Start by dividing both sides of the equation by 82.78:
\[ p + 11.892 = \frac{72.8464}{82.78} \]
- Calculate \( \frac{72.8464}{82.78} \):
\[ p + 11.892 \approx 0.880 \]
- Now, isolate \( p \) by subtracting \( 11.892 \) from both sides:
\[ p = 0.880 - 11.892 \]
- Calculate \( p \):
\[ p \approx -11.012 \]
So, the solution for \( p \) is approximately \( -11.012 \).