Question

There are many ways to start solving this equation. One way to start solving is to get rid of the parentheses on the left. You could do that by dividing by the quantity outside the parentheses. Show that you can divide both sides by the same number to leave one group of p+2 on the left.
8(p+2)
=
24

Answer 1

To simplify the equation \( 8(p + 2) = 24 \), you can divide both sides by \( 8 \).

Here's how you do it:

\[
\frac{8(p + 2)}{8} = \frac{24}{8}
\]

This simplifies to:

\[
p + 2 = 3
\]

Now you have isolated one group of \( p + 2 \) on the left side of the equation. From here, you can solve for \( p \) by subtracting \( 2 \) from both sides:

\[
p + 2 - 2 = 3 - 2
\]
\[
p = 1
\]

So the solution to the equation \( 8(p + 2) = 24 \) is \( p = 1 \).