With this problem . break it down for me 15-1/6n=1/6n-1

15-1/6n=1/6n-1
First, lets multiply both sides by 6 so that n is a whole number:
90-n=n-6
now you group like terms on each side, to do this you add n to each side and add 6 as well so it becomes:
96=2n
Now divide both sides by 2 so you have 'n' on one side and it is:
48=n

Hope this helps :)

Math:

Step 1: Simplify both sides of the equation. Simply steps provided.

15−1/6n=1/6n−1

15+−1/6n=1/6n+−1

−1/6n+15=1/6n−1

Step 2: Subtract 1/6n from both sides.

−1/6n+15−1/6n=1/6n−1−1/6n

−1/3n+15=−1

Step 3: Subtract 15 from both sides.

-1/3n = -16

Step 4: Multiply both sides by -3 -1/3 by 16.

Your answer is:
n = 48