Can you explain that wheather is that time a infinitely many solutions or no solutions and why.

Simplify both sides by combining like terms
On the left side, -8g-3-8g will turn into -16g-3 since the two like terms -8g and -8g combine to -16g

Similarly, on the right side we have -9-16g+16 simplify to -16g+7
This time -9 and 16 are the like terms that add to 7

After doing those simplifications, we go from this
-8g-3-8g = -9-16g+16
to this
-16g-3 = -16g+7

The thing to notice is that both sides have a 'g' term, specifically -16g. If we add 16g to both sides, the -16g terms will cancel out

So we go from
-16g - 3 = -16g + 7
to 
-3 = 7
which is always a false equation. The value -3 and the value 7 are not the same. 

So there is no value we can replace 'g' with to have the original equation be true. 

There are no solutions

The answer is 1 because you have to flip the sign when dividing by negative number and 3