Respuesta :

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]