Solve for p: 5p + 15 = 45.

To solve the equation (5p + 15 = 45), the first step is to isolate the term with (p). This can be accomplished by subtracting 15 from both sides of the equation.

Doing this gives:

[

5p + 15 - 15 = 45 - 15

]

which simplifies to:

[

5p = 30

]

Next, to solve for (p), divide both sides by 5:

[

p = \frac{30}{5}

]

This results in:

[

p = 6

]

This value, 6, is correct because when substituting (p = 6) back into the original equation, it checks out:

[

5(6) + 15 = 30 + 15 = 45

]

As such, the solution satisfies the original equation, confirming that (p = 6) is indeed the correct answer.