Solve and verify the solution obtained in each of the following equations.
`3p - 7 = 20`

Answer

To solve the equation \(3p - 7 = 20\) and verify the solution, follow these steps:

### Step 1: Write down the equation
We start with the equation:
\[ 3p - 7 = 20 \]

### Step 2: Add 7 to both sides
To isolate the term with \(p\), we add 7 to both sides of the equation:
\[ 3p - 7 + 7 = 20 + 7 \]
This simplifies to:
\[ 3p = 27 \]

### Step 3: Divide both sides by 3
Next, we divide both sides by 3 to solve for \(p\):
\[ p = \frac{27}{3} \]
This simplifies to:
\[ p = 9 \]

### Step 4: Verify the solution
To verify that our solution \(p = 9\) is correct, we substitute \(p\) back into the original equation:
\[ 3p - 7 = 20 \]
Substituting \(p = 9\):
\[ 3(9) - 7 = 20 \]
Calculating the left side:
\[ 27 - 7 = 20 \]
Since both sides are equal, the solution is verified.

### Final Answer
The solution to the equation \(3p - 7 = 20\) is:
\[ p = 9 \]