Answer:
4-n = -3n/2
-n+3n/2 = -4
n/2 = -4
n = -8
Explanation:
1- Let's divide two sides by 2 first
|4-n|=-3n/2
2- If we take the absolute of both negative and positive, the result will be positive. However, we should be careful that there is n on both sides.So, the sign should not conflict.
Let's assume inside of the absolute is positive:
4-n = -3n/2
-n+3n/2 = -4
n/2 = -4
n = -8
3- Check if it's actually positive
4-(-8) = 12