Question

Basic Algebra 1 help needed

How did they get 0 as a solution? Please show the process

Answer 1

Try simplifying the expression first.
To do this, add 10 to both sides of the equation and simplify the right side.

Answer 2

1/2|n-6| -10 = -7
1/2|n-6| = -7 + 10 = 3
|n-6| = 2*3 = 6
Since |n-6| is an absolute value, |n-6| = 6 means n-6 is either 6 or -6. So we can solve both equations:
n - 6 = 6
n = 6 + 6 = 12

and

n - 6 = -6
n = -6 + 6 = 0