olve the equation below, where there are p terms on both sides of the equation. What’s the value of p?

Question

There are many ways to solve this equation. We're trying to get p alone on one side of the equation, equal to some number. We can start by first trying to get all of the p terms on the right. What move can you make first to get rid of the −2p on the left so that all of the p terms are on the right side of the equation?
20−2p=6+5p

Add 2p to both sides

Subtract 2p from both sides

Add 6 and 5p on the right

Answer 1

To solve the equation \(20 - 2p = 6 + 5p\) and to get all the \(p\) terms on the right side, the first move you should make is:

Add \(2p\) to both sides.

This will eliminate the \(-2p\) on the left side, allowing all \(p\) terms to be consolidated on the right side of the equation.

So, the equation after this step will look like:

\[ 20 = 6 + 5p + 2p \]

This simplifies to:

\[ 20 = 6 + 7p \]

Now, you can solve for \(p\) from that point onward.