#### Answer

z = $\frac{9}{5}$

#### Work Step by Step

$\frac{2(z + 3)}{3}$ = 5 - z
Distribute:
$\frac{2z + 6}{3}$ = 5 - z
Multiply both sides by 3:
2z + 6 = 3(5 - z)
Distribute:
2z + 6 = 15 - 3z
Add 3z to both sides:
5z + 6 = 15
Subtract 6 from both sides:
5z = 9
Divide both sides by 5:
z = $\frac{9}{5}$