Answer
Infinitely many solutions.
Work Step by Step
The given equation is
$\Rightarrow 3(4g+6)= 2(6g+9)$
Use distributive property.
$\Rightarrow 12g+18= 12g+18$
Subtract $12g$ from each side.
$\Rightarrow 12g+18-12g= 12g+18-12g$
Simplify.
$\Rightarrow 18= 18$
The statement $18=18$ is always true. so, the equation has infinitely many solutions.