Final answer:
The equation has no solution.
Step-by-step explanation:
To solve the equation 1/4(n-4)=1/4n-5, we need to isolate the variable n. Let's begin by simplifying both sides of the equation. First, we can distribute 1/4 to both terms on the left side, resulting in 1/4n-1 = 1/4n-5. Now, we can subtract 1/4n from both sides to get -1 = -5. Since -1 is not equal to -5, this means the equation has no solution (option A).