Answer:
[tex]n=\frac{3a-8}{a-b}[/tex]
Step-by-step explanation:
we have
[tex]a(n-3)+8=bn[/tex]
The question is Solve for n
Apply the distributive property on the left side
[tex]an-3a+8=bn[/tex]
Group terms that contain the same variable and move the other terms to the opposite side of the equation
[tex]an-bn=3a-8[/tex]
Factor the variable n
[tex]n(a-b)=3a-8[/tex]
Divide both sides by (a-b)
[tex]n=\frac{3a-8}{a-b}[/tex]