The equation provided in the image is:

$4(p + 2) = 7p - 1$

Let's solve this step by step:

Step 1: Expand the left-hand side

Distribute the 4 on the left-hand side:

$4p + 8 = 7p - 1$

Step 2: Move all terms involving $p$ to one side

To isolate $p$, subtract $4p$ from both sides:

$8 = 7p - 4p - 1$ $8 = 3p - 1$

Step 3: Move the constant terms to the other side

Add 1 to both sides:

$8 + 1 = 3p$ $9 = 3p$

Step 4: Solve for $p$

Divide both sides by 3:

$p = \frac{9}{3} = 3$

Step 5: Check the solution

Substitute $p = 3$ back into the original equation:

Original equation: $4(p + 2) = 7p - 1$

Substitute $p = 3$:

$4(3 + 2) = 7(3) - 1$ $4(5) = 21 - 1$ $20 = 20$

Since both sides of the equation are equal, $p = 3$ is the correct solution.

Would you like more details on any part of the solution or have any further questions?

Here are some related questions you might want to explore:

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3. How do you solve equations with fractions?
4. How can you check if a solution to an equation is correct?
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Tip: Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.