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 to isolate \( p + 11.892 \): \[ p + 11.892 = \frac{72.8464}{82.78} \]

2. Calculate the right-hand side: \[ p + 11.892 = 0.8802 \quad (\text{approximately, do not round yet}) \]

3. Subtract 11.892 from both sides: \[ p = 0.8802 - 11.892 \]

4. Calculate the final value of \( p \): \[ p = -11.0118 \quad (\text{approximately, do not round yet}) \]

Thus, the solution for \( p \) is: \[ p = -11.0118 \]

If you keep all decimal places, it would be: \[ p = -11.011785489999999 \]

So, the final answer is: \[ p = -11.011785489999999 \]