To solve the equation \(\frac{2}{3}u = -\frac{6}{5}\), we will first isolate \(u\). 1. Multiply both sides by the reciprocal of \(\frac{2}{3}\), which is \(\frac{3}{2}\): \[ u = -\frac{6}{5} \times \frac{3}{2} \] 2. Calculate the right side: \[ u = -\frac{6 \times 3}{5 \times 2} = -\frac{18}{10} \] 3. Simplify \(-\frac{18}{10}\): \[ u = -\frac{9}{5} \] Thus, the solution is: \[ u = -\frac{9}{5} \]