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