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

Question

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

Answer 1

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

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

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

   Calculating the right side:

   \[ p + 11.892 = 0.880 \]

2. Next, subtract \( 11.892 \) from both sides to solve for \( p \):

   \[ p = 0.880 - 11.892 \]

   Performing the subtraction:

   \[ p = -11.012 \]

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

\[ \boxed{-11.012} \]