The value of n is [tex]n=28[/tex]
Explanation:
The expression is [tex]\frac{3}{4} n-18=\frac{1}{4} n-4[/tex]
Subtracting both sides by [tex]\frac{1}{4} n[/tex], we get,
[tex]\frac{3}{4}n-\frac{1}{4}n-18=-4[/tex]
Adding both sides by 18, we get,
[tex]\frac{3}{4}n-\frac{1}{4}n=-4+18[/tex]
Simplifying the terms, we have,
[tex]\frac{2}{4}n=14[/tex]
Dividing, we get,
[tex]\frac{1}{2} n=14[/tex]
Multiplying by 2, we have,
[tex]n=28[/tex]
Thus, the value of n is [tex]n=28[/tex]