Question

How do you solve `-31= 8 - 6p - 7p`?

Answer 1

`p=3`

Explanation:

First, you always want to get like terms on one side. Here we have constants and `p` as our terms. If we subtract `8` from both sides, we will get:

`-31-8=-6p-7p`

Then, we can combine the like terms. We can determine that `-31-8` is `-39` and `-6p-7p` is `-13p`. We can then rewrite the equation as:

`-39=-13p`

Since we are trying to solve for `p`, we can divide both sides by a constant of `-13` to isolate the variable `p`. When we divide on the right side, we are left with just `p`. When we divide on the left side, we get `(-39)/-13`, which is `3`. Thus, writing out equation again, we see that:

`3=p`

By using the reflexive property of equations, we can say that:

`p=3`.