solve for z a(t+z)=45z+67

Solve for z a(t+z)=45z+67
1. Expand
[tex]at+az=45z+67[/tex]

2. Subtract [tex]at[/tex] from both sides
[tex]az=45z+67-at[/tex]

3. Subtract 45z from both sides
[tex]az-45z=67-at[/tex]

4. Factor out the common term z
[tex]z(a-45)=67-at[/tex]

5. Divide both sides by a - 45
[tex]z= \frac{67-at}{ya-45} [/tex]

Answer: [tex]z= \frac{67-at}{a-45} [/tex]