$3|9-2 n|=-5 n$

Step 1 ：Split the equation into two possible scenarios: when the expression inside the absolute value is positive, and when it is negative. Therefore, we need to solve for both cases separately.

Step 2 ：For the first case, solve the equation \(27 - 6n = -5n\). The potential solution is \(n = 27\).

Step 3 ：For the second case, solve the equation \(6n - 27 = -5n\). The potential solution is \(n = \frac{27}{11}\).

Step 4 ：Check if these solutions satisfy the original conditions of the absolute value function.

Step 5 ：Neither of the potential solutions satisfy the original conditions of the absolute value function.

Step 6 ：Final Answer: The equation \(3|9-2 n|=-5 n\) has \(\boxed{\text{no solutions}}\).