# How do you solve 31=-1/6n?

Apr 7, 2018

$n = - 186$

Here's how I did it:

#### Explanation:

$31 = - \frac{1}{6} n$

Multiply both sides by $- 6$:
$31 \textcolor{red}{\cdot - 6} = - \frac{1}{6} \textcolor{red}{\cdot - 6} n$

$- 186 = \cancel{-} \frac{1}{\cancel{6}} \cdot \cancel{- 6} n$

Rewrite neatly:
$- 186 = n$

$n = - 186$

Hope this helps!

Apr 7, 2018

$n = - 186$

#### Explanation:

We have our original equation

$31 = - \frac{1}{6} n$

Let's get rid of the fraction by using an operation that's the opposite of division, which is multiplication.

$6 \cdot 31 = - \frac{1}{\cancel{6}} n \cdot \cancel{6}$
$186 = - n$

Next, to isolate n, divide by a -1 to get change our -n to a positive n.

$n = - 186$

~ Alex