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

##### 1 Answer
Oct 29, 2015

$p = 3$

#### 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:

$- 31 - 8 = - 6 p - 7 p$

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

$- 39 = - 13 p$

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 $\frac{- 39}{-} 13$, which is $3$. Thus, writing out equation again, we see that:

$3 = p$

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

$p = 3$.