Question

Solve for z.
Assume the equation has a solution for z.
a⋅(t+z)=45z+67

Answer 1

`a(t+z)=45z+67\implies at+az=45z+67\implies az=45z+67-at \\\\\\ az-45z=67-at\implies \stackrel{common~factoring}{z(a-45)}=67-at\implies z=\cfrac{67-at}{a-45}`