Question

What is the solution of 82.78(p+11.892)=72.8464
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:
\[
p = -11.012
\]