We are given the equation
[tex]7n-16=47[/tex]We can add or subtract the same number on each side of the equation, in this case, we add 16
[tex]7n-16+16=47-16[/tex][tex]7n=63[/tex]We can divide by the same number on each side of the equation
[tex]\frac{7n}{7}=\frac{63}{7}[/tex][tex]n=9[/tex]And thus we solve the equation