Answer:
The value of the equation for n is
.
Step-by-step explanation:
Consider the provided equation.
![A(n-3)+8=bn](https://tex.z-dn.net/?f=A%28n-3%29%2B8%3Dbn)
We need to solve the equation for n.
Open the parentheses as shown:
![An-3A+8=bn](https://tex.z-dn.net/?f=An-3A%2B8%3Dbn)
Subtract both the side by An.
![An-An-3A+8=bn-An](https://tex.z-dn.net/?f=An-An-3A%2B8%3Dbn-An)
![-3A+8=bn-An](https://tex.z-dn.net/?f=-3A%2B8%3Dbn-An)
Take n common from right side.
![-3A+8=n(b-A)](https://tex.z-dn.net/?f=-3A%2B8%3Dn%28b-A%29)
Divide both the sides by b-A.
![\frac{-3A+8}{b-A}=\frac{n(b-A)}{b-A}](https://tex.z-dn.net/?f=%5Cfrac%7B-3A%2B8%7D%7Bb-A%7D%3D%5Cfrac%7Bn%28b-A%29%7D%7Bb-A%7D)
![n=\frac{-3A+8}{b-A}](https://tex.z-dn.net/?f=n%3D%5Cfrac%7B-3A%2B8%7D%7Bb-A%7D)
Hence, the value of the equation for n is
.