Question

Solve for z.

w(−4+z)=mz+17

Answer 1

$w(-4+z)=mz+17 \\ -4w+wz-mz=17\\ wz-mz=4w+17\\ z(w-m)=4w+17\\ z=\dfrac{4w+17}{w-m}\\ z=-\dfrac{4w+17}{m-w}$

Answer 2

w(-4+z) = mz+17

Add -mz to both sides

wz-4w-mz = mz+17 - mz

-mz+wz -4w = 17

Add 4w to both sides

-mz+wz-4w+4w = 17+4w

-mz + wz = 4w + 17

Factor out variable z

z(-m+w) = 4w+17

Divide both sides by -m+w

z(-m+w)/-m+w = 4w+17/-m+w

Z = 4w+17 / -m+w