To express an equation of n in terms of m we can follow these steps:
7m + 2 = 6n - 5
1. add 5 on both sides of the equation:
7m+2+5=6n-5+5
2.Combine like terms
7m+7=6n
3. Divide both sides by 6
(7m+7)/6=6n/6
Then we get:
[tex]\begin{gathered} \frac{7m+7}{6}=\frac{6n}{6} \\ \frac{7m}{6}+\frac{7}{6}=n \\ n=\frac{7m}{6}+\frac{7}{6}=\frac{7}{6}(m+1) \end{gathered}[/tex]Then, f(m)=7/6(m+1)