help please i need help i dont understand and i need help quick thank you

You want to get to z=, not 2/3 z.

So the first step is to multiply by the inverse (the opposite) of 2/3z, which is 3/2z. 2/3 times 3/2 will give you 1 and that's what you want (1). 1z is the same as z.

The second step is to do the other side of the equation ( in this case the left) what was done to the right side of the equation; which is multiply by 3/2.

When you multiply 3/2 times -6, your answer is -9. z= -9.