Question

U(m+2)+w(m-3)=z(m-1) solve for m

Answer 1

`\large\boxed{m=(3w-2u-z)/(u+w-z)}`

Explanation:

Use the distributive property: a(b + c) = ab + ac

`u(m+2)+w(m-3)=z(m-1)\\\\um+2u+wm-3w=zm-z\qquad\text{subtract}\ 2u\ \text{from both sides}\\\\um+wm-3w=zm-z-2u\qquad\text{add}\ 3w\ \text{to both sides}\\\\um+wm=zm+3w-2u-z\qquad\text{subtract}\ zm\ \text{from both sides}\\\\um+wm-zm=3w-2u-z\qquad\text{distributive}\\\\(u+w-z)m=3w-2u-z\qquad\text{divide both sides by}\ (u+w-z)\\eq0\\\\m=(3w-2u-z)/(u+w-z)`