Answer:
![n=(3a-8)/(a-b)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uctt961t53wihgmtulp81b6idham2k4szj.png)
Explanation:
we have
![a(n-3)+8=bn](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kpbkp6ttlc8u63nk9xqt61m456blsvf13m.png)
The question is Solve for n
Apply the distributive property on the left side
![an-3a+8=bn](https://img.qammunity.org/2020/formulas/mathematics/middle-school/arvzr8lv0c0s84t1gsvx7vu1ivp4is7aix.png)
Group terms that contain the same variable and move the other terms to the opposite side of the equation
![an-bn=3a-8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/e7zkn0ezy8ktj1lvrulj6w9n47jmlj2ssf.png)
Factor the variable n
![n(a-b)=3a-8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xkubir0zq77ject5q51089a7q2ucol3cj5.png)
Divide both sides by (a-b)
![n=(3a-8)/(a-b)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uctt961t53wihgmtulp81b6idham2k4szj.png)