equation problem

[dry pewter]

hi, so basically me and my classmate are struggling on this equation find z. id love the answer but also the steps on how to get to the answer THANKSS!

[dry pewter]

(translation: solve equation and prove its right)

[grave patrol]

Which part does your friend struggle with?

Try detangling the z from subexpressions like the one on the right. What you want to do when you solve equations is that you eventually want to get z, or x, or whatever you call the variable alone on one side.

(x-2)*3 = 2 for example, you can turn into

3x - 6 = 2

Divide both sides with 3 and you have

x - 2 = 2/3

Now this is immediately a lot easier to solve.

I won't give you the answer because the answer is not important. It's the method that's important.

[dry pewter]

well i got the answer sheet saying 0z=5 but when i try to get to the answer i get nowhere near

[severe python]

There are no solutions to this equation?

\begin{align*}
2-\left(\frac{3}{2}\right)\left(2-z\right) &= \left(\frac{3}{2}\right)z + 1 \
\Rightarrow 2-3+\frac{3z}{2} &= \frac{3z}{2}+\frac{3}{2} \
\Rightarrow \frac{3z}{2}-1 &= \frac{3z}{2}+1.5 \
\Rightarrow 0z &= 2.5
\end{align*}