Solve for z.w(−4+z)=mz+17
\(w(-4+z)=mz+17 \\ -4w+wz-mz=17\\ wz-mz=4w+17\\ z(w-m)=4w+17\\ z=\dfrac{4w+17}{w-m}\\ z=-\dfrac{4w+17}{m-w}\\\)
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
