How to solve |-7n+1| / 9 = 2

n = - 17/7 and n = 19/7

Step-by-step explanation:

|-7n + 1|/9 = 2

First multiply both sides by 9 to get rid of the fraction on the left ...

|-7n + 1| = 18

When solving absolute value you set up 2 equations (since |x| = x and |-x| = x)

We have

-7n + 1 = 18

and

-7n + 1 = - 18

Now solve both for n ...

-7n + 1 = 18

-7n = 17

n = - 17/7

-7n + 1 = - 18

-7n = - 19

n = 19/7