To solve the equation \( \frac{2}{3}(6m + 9) - 6 = 4m \), we can start by simplifying both sides.
- Distribute \( \frac{2}{3} \) on the left side: \[ \frac{2}{3} \times 6m + \frac{2}{3} \times 9 = 4m + 6 \] This becomes: \[ 4m + 6 - 6 = 4m \] Simplifying further gives: \[ 4m = 4m \]
This indicates that the equation holds true for all values of \( m \). Therefore, the equation has infinite solutions.
So the answer is infinite/many solutions.