Solve for \( u \). \[ -\frac{2}{u}=6 \] Simplify your answer as much as possible.

To solve for \( u \) in the equation \( -\frac{2}{u} = 6 \), we start by eliminating the fraction. Multiplying both sides by \( u \) (assuming \( u \neq 0 \)), we get: \[ -2 = 6u \] Next, we divide both sides by 6 to isolate \( u \): \[ u = -\frac{2}{6} \] Simplifying the fraction: \[ u = -\frac{1}{3} \] So, the solution is: \[ u = -\frac{1}{3} \]