Solve for z. 2/3 = 2 + 3/2 – 1/2 z =

To solve for ( z ) in the equation ( frac{2}{3} = 2 + frac{3}{2} – frac{1}{2} ), we first simplify the right side:

1. Combine ( frac{3}{2} ) and ( -frac{1}{2} ):

[

frac{3}{2} – frac{1}{2} = frac{2}{2} = 1

]

2. Add ( 2 + 1 ):

[

2 + 1 = 3

]

So, the equation simplifies to:

[

frac{2}{3} = 3

]

This is not correct as ( frac{2}{3} neq 3 ). This indicates there may be a misunderstanding, or that no solution exists for the variable ( z ) based on this equation.

If you have additional context or a different equation to solve for ( z ), please provide it!