Step-by-step explanation:
[tex] \frac{2}{3} v + \frac{1}{6} = \frac{7}{9}v - \frac{5}{6} [/tex]
[tex] \frac{1}{6} + \frac{5}{6} = \frac{7}{9} v - \frac{2}{3} v[/tex]
[tex] \frac{6}{6} = ( \frac{7}{9} \times \frac{2}{3} )v[/tex]
[tex]1 = ( \frac{7}{9} - \frac{2 \times 3}{3 \times 3} )v[/tex]
[tex]1 = ( \frac{7}{9} - \frac{6}{9} )v[/tex]
[tex]1 = ( \frac{7 - 6}{9} )v[/tex]
[tex]1 = ( \frac{1}{9} )v[/tex]
[tex]v = 9[/tex]
I hope it helped you
