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

Question

when solving for p
? Do not round your answer.(1 point)
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: \[ p + 11.892 = \frac{72.8464}{82.78} \]

2. Calculate the right side: \[ \frac{72.8464}{82.78} \approx 0.880 \]

3. Now, isolate \( p \): \[ p = 0.880 - 11.892 \]

4. Perform the subtraction: \[ p \approx 0.880 - 11.892 = -11.012 \]

Thus, the solution for \( p \) is: \[ p \approx -11.012 \]

Therefore, the exact answer is: \[ p = -11.012 \]