Anybody know how to solve this?

Answer:
[tex]v = \frac{9z}{5} - \frac{9w}{5} [/tex]
Step-by-step explanation:
[tex] \frac{5}{9} v + w = z \\ \\ \frac{5}{9} v = z - w \\ \\ v = (z - w) \div \frac{5}{9} \\ \\ v = (z - w) \times \frac{9}{5} \\ \\ v = \frac{9(z - w)}{5} \\ \\ v = \frac{9z - 9w}{5} \\ \\ v = \frac{9z}{5} - \frac{9w}{5} [/tex]
I hope I helped you^_^