Given:
[tex]\frac{3n}{7}-1=\frac{1}{8}[/tex]
First, let's move the -1 to the right side. When we add [tex]1 + \frac{1}{8}[/tex], we get [tex]\frac{9}{8}[/tex].
[tex]\frac{3n}{7}=\frac{9}{8}[/tex]
Now we can cross multiply, multiply (3n)(8) and (7)(9)
[tex](3n)(8)=(7)(9)[/tex]
Simplify the left side.
[tex]24n = (7)(9)[/tex]
Simplify the right side.
[tex]24n=63[/tex]
Divide both sides by 24 to isolate n.
[tex]\frac{24n}{24}=\frac{63}{24}[/tex]
Simplify.
[tex]n=\frac{21}{8}[/tex]
