The value of n should be 25 to make the equation true.
Solution:
Given,
[tex]\frac{-1}{5}n+7=2[/tex]
On grouping the terms and bringing the unknown value to the other side we get,
[tex]\frac{-1}{5}n=2-7[/tex]
[tex]\Rightarrow \frac{-1}{5}n=-5[/tex]
[tex]\Rightarrow {-1}n=-5\times5[/tex]
[tex](-1\times n = -n)[/tex]
[tex]\Rightarrow -n=-25[/tex]
On cancelling - on both the sides, we get n=25.
Hence, n=25
