ANSWER
[tex]\text{ v = }\frac{u\text{ - z}}{w}\text{ or }\frac{u}{w}\text{ - }\frac{z}{w}[/tex]EXPLANATION
We are given that:
u = vw + z
We want to solve for v.
First, take z to the left hand side:
u - z = vw
Now, divide through by w:
[tex]\begin{gathered} \frac{u\text{ - z}}{w}\text{ = v} \\ \Rightarrow\text{ v = }\frac{u\text{ - z}}{w}\text{ or }\frac{u}{w}\text{ - }\frac{z}{w} \end{gathered}[/tex]That is the answer.