Question

How do you solve for m in `10m-p = -n + p m`?

Answer 1

`color(green)(m=(p-n)/(10-p)`

Explanation:

Given
`color(white)("XXX")10m-p=-n+p m`

We need to get all the terms involving `m` on one side and all other terms on the other side:
`color(white)("XXX")10m-p*m =p-n`

Extract the factor of `m` from the terms on the left side
`color(white)("XXX")m(10-p)=p-n`

(Assuming `p!=10`) divide both sides by `(10-p)` isolating a single `m` on the left side
`color(white)("XXX")m=(p-n)/(10-p)`