To solve the equation p + 4 = 15, we need to isolate the variable p on one side of the equation. Here's a step-by-step explanation:

Step 1: Start with the given equation: p + 4 = 15

Step 2: To isolate the variable p, we need to get rid of the constant term 4. We can do this by subtracting 4 from both sides of the equation:
p + 4 - 4 = 15 - 4
p = 11

Step 3: The final step is to simplify the equation. Since there are no like terms to combine, the equation is already simplified.

Therefore, the solution to the equation p + 4 = 15 is p = 11.

Explanation:
The equation p + 4 = 15 is an algebraic equation with a variable p. The goal is to determine the value of p that satisfies the equation. In order to do this, we perform the same operation on both sides of the equation to keep it balanced.

In this case, we want to isolate the variable p by getting rid of the constant term 4. To do this, we subtract 4 from both sides of the equation. This cancels out the 4 on the left side, leaving us with just p. On the right side, we subtract 4 from 15, which gives us 11.

So the final solution to the equation is p = 11. This means that when we substitute 11 for p in the original equation, the equation is true: 11 + 4 = 15.