we have
[tex]\frac{1}{3}m-7=10[/tex]Solve for m
That means
isolate the variable m
so
step 1
Adds 7 both sides -----> by addittion equality property
[tex]\begin{gathered} \frac{1}{3}m-7+7=10+7 \\ \\ \frac{1}{3}m=17 \end{gathered}[/tex]step 2
Multiply by 3 both sides -----> by multiplication equality property
[tex]\begin{gathered} \frac{1}{3}m\cdot3=17\cdot3 \\ m=51 \end{gathered}[/tex]therefore