Question

Solve the equation.
StartFraction p minus 4 Over 6 EndFraction
equals7
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Part 1
The solution of the equation is
  
enter your response here. ​(Type the value of​ p.)

Answer 1

To solve the equation

\[
\frac{p - 4}{6} = 7,
\]

follow these steps:

1. **Multiply both sides by 6** to eliminate the fraction:

\[
p - 4 = 7 \cdot 6.
\]

This simplifies to:

\[
p - 4 = 42.
\]

2. **Add 4 to both sides** to isolate \(p\):

\[
p = 42 + 4.
\]

This simplifies to:

\[
p = 46.
\]

Thus, the solution of the equation is

\[
\boxed{46}.
\]