Answer:
[tex]m=7\frac{5}{16}[/tex]
Step-by-step explanation:
[tex]\frac{1}{9}(2m - 16)=\frac{1}{3}(2m + 4)[/tex]
[tex]\frac{2}{9}m - 1\frac{7}{9} =\frac{2}{3}m+ 1\frac{1}{3}[/tex]
[tex]\frac{2}{9}m - 1\frac{7}{9} -1\frac{1}{3} =\frac{2}{3}m+ 1\frac{1}{3}-1\frac{1}{3}[/tex]
[tex]\frac{2}{9}m - 3\frac{1}{9} =\frac{2}{3}m[/tex]
[tex]\frac{2}{3}m-\frac{2}{9}m= \frac{2}{9}m -\frac{2}{9}m - 3\frac{1}{9}[/tex]
[tex]\frac{4}{9}m= - 3\frac{1}{9}[/tex]
[tex]\frac{4}{9}m/\frac{4}{9} = - 3\frac{1}{9}/\frac{4}{9}[/tex]
[tex]m=7\frac{5}{16}[/tex]
