Question

How do you solve for v in `u(v+2) + w(v-3) = z(v-1)`?

Answer 1

`v=(3w-z-2u)/(w-z+u)`

Explanation:

Method:

Multiply out the brackets.
All terms with `v` in on the left. All other terms on the right
Factor out `v`
Rearrange so that `v` is on its own.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`uv+2u+wv-3w=zv-z`

`uv+wv-zv=3w-z-2u`

`v(u+w-z)=3w-z-2u`

`v=(3w-z-2u)/(w-z+u)`