Question How many solutions will the equation \frac{2}{3}\left(6m+9\right)-6=4m have?(1 point) Responses infinite/many solutions infinite/many solutions two solutions two solutions one solution one solution no solution no solution

To determine the number of solutions for the equation \(\frac{2}{3}(6m + 9) - 6 = 4m\), we will first simplify the left side of the equation.

1. Distribute \(\frac{2}{3}\):
\[
\frac{2}{3}(6m) + \frac{2}{3}(9) - 6
\]
This simplifies to:
\[
4m + 6 - 6
\]
which further simplifies to:
\[
4m
\]

2. Now we have the equation:
\[
4m = 4m
\]

This equation is true for all values of \(m\) since both sides are identical.

Thus, there are **infinite solutions** to the equation.

The correct response is: **infinite/many solutions**.