Step 1. Divide both sides by -4
|8 - 5n| = -13/4
Step 2. Break down the problem into these 2 equations
8 - 5n = -13/4
-(8 - 5n) = -13/4
Step 3. Solve the 1st equation: 8 - 5n = -13/4
n = 9/4
Step 4. Solve the 2nd equation: −(8 − 5n) = -13/4
n = 19/20
Step 5. Collect all solutions
n = 19/20, 9/4
Step 6. Check the solution
when n = 19/20, the original equation -4|8 - 5n| = 13 does not hold true. We will drop n = 19/20 from the solution set
Step 7. Check the solution
When n = 9/4, the original equation -4|8 - 5n| = 13 doesn't hold true either. So we will drop n = 9/4 from the solution set.
Step 8. Therefore,
No solution exists.
