2/3 n - 6 = -8

Answer 1

To solve the equation \(\frac{2}{3}n - 6 = -8\), follow these steps:

1. Add 6 to both sides to isolate the term with \(n\):

   \[ \frac{2}{3}n - 6 + 6 = -8 + 6 \]

   This simplifies to:

   \[ \frac{2}{3}n = -2 \]

2. Multiply both sides by the reciprocal of \(\frac{2}{3}\), which is \(\frac{3}{2}\):

   \[ n = -2 \times \frac{3}{2} \]

   This simplifies to:

   \[ n = -3 \]

Thus, the solution is:

\[ n = -3 \]