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

Question

P = _

Answer 1

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

1. Divide both sides by 82.78: \[ p + 11.892 = \frac{72.8464}{82.78} \]

2. Calculate the right-hand side: \[ \frac{72.8464}{82.78} \approx 0.8806340981 \text{ (exact value without rounding)} \]

3. Subtract 11.892 from both sides: \[ p = 0.8806340981 - 11.892 \]

4. Calculate \( p \): \[ p = 0.8806340981 - 11.892 = -11.0113659019 \]

Thus, the solution for \( p \) is: \[ p = -11.0113659019 \]