Question

How do you solve `7(2-p)=14-7p`?

Answer 1

All real numbers or `(-oo, oo)`

Here's how I did it:

Explanation:

`7(2-p)=14-7p`

First, distribute:
`14-7p=14-7p`

Subtract `14` from both sides of the equation:
`14 - 7p quadcolor(red)(-quad14)=14 - 7p quadcolor(red)(-quad14)`

`-7p = -7p`

Divide both sides by `-7`:

`(-7p)/color(red)(-7) = (-7p)/color(red)(-7)`

`p = p`

Since we know that `p=p` is true, that means that the solution is any real number, or `(-oo, oo)`.

Any real solution will work.

Hope this helps!