-9=5/17n

A. n=153/5
B. n=5/153
C. n=-17/45
D. n=-45/17

-9=5/17n

Multiply both sides by (5/17)

-9 * (5/17) = n

To solve the equation -9 = 5/17n for n, we need to isolate the variable n on one side of the equation.

Step 1: Multiply both sides of the equation by 17 to eliminate the fraction:

-9 * 17 = (5/17n) * 17

-153 = 5n

Step 2: Divide both sides of the equation by 5 to solve for n:

(-153)/5 = (5n)/5

-30.6 = n

Now let's simplify the decimal value of n to determine which given option matches.

Option A: n = 153/5
Option B: n = 5/153
Option D: n = -45/17

Comparing the decimal value of n, -30.6, to the provided options, none of the given options match. Therefore, none of the given options are correct.

So, the correct answer is none of the above.