Solve: \( -\frac{2}{u}=-\frac{24}{25} \). Enter a fraction or a whole number.

To solve the equation \( -\frac{2}{u} = -\frac{24}{25} \), you can eliminate the negative signs from both sides, giving you \( \frac{2}{u} = \frac{24}{25} \). Next, you can cross-multiply: \[ 2 \cdot 25 = 24 \cdot u \] This simplifies to: \[ 50 = 24u \] Now, divide both sides by 24 to isolate \( u \): \[ u = \frac{50}{24} \] To simplify \( \frac{50}{24} \), divide the numerator and denominator by their greatest common divisor, which is 2: \[ u = \frac{25}{12} \] Thus, the solution is \( \frac{25}{12} \).