Question

Need help ASAP !!!!!!!

Answer 1

First we distribute $\frac{1}{5}$ into $n$ and $-\frac{1}{7}$.

$\frac{1}{5} * n = \frac{1}{5} n$
$\frac{1}{5} * -\frac{1}{7} = - \frac{1}{35}$

That makes the left side of the equation 

$\frac{1}{5} n - \frac{1}{35} = \frac{1}{6} n$

Now we subtract $\frac{1}{5}n$ from $\frac{1}{6} n$, which makes $\frac{1}{30}$

Now the equation is 

$-\frac{1}{35} = -\frac{1}{30n}$

Our goal is to isolate $n$, so we both sides by 30

$30* -\frac{1}{35} = - \frac{1}{30}n * 30$ 

That will make the equation 

$- \frac{30}{35} = -n$

We multiply -1 on both sides of the equation:

$\frac{30}{35} = n$

Finally we simplify $\frac{30}{35}$, which makes $\frac{6}{7}$

So the answer is $n = \frac{6}{7}$