The value of n is 10.
Solution:
Given expression:
[tex]$-2+\frac{4n}{5} =6[/tex]
To solve this expression:
[tex]$-2+\frac{4n}{5} =6[/tex]
Add 2 on both sides of the expression.
[tex]$-2+\frac{4n}{5}+2 =6+2[/tex]
[tex]$\frac{4n}{5}=8[/tex]
Multiply by 5 on both sides of the expression, we get
4n = 40
Divide by 4 on both sides of the expression, we get
n = 10
Hence the value of n is 10.