Step-by-step explanation:
(4 + [tex]\frac{2}{9}[/tex] ) = (6 + [tex]\frac{1}{3}[/tex] ) b Original equation
4 + [tex]\frac{2}{9}[/tex] = 6b + [tex]\frac{1}{3}[/tex]b Distributive property
4 [tex]\frac{2}{9}[/tex] = 6[tex]\frac{1}{3}[/tex] b Simplification
[tex]\frac{38}{9}[/tex] = [tex]\frac{19}{3}[/tex]b Extra simplification
[tex]\frac{38}{9}[/tex] × [tex]\frac{3}{19}[/tex] = [tex]\frac{19}{3}[/tex]b × [tex]\frac{3}{19}[/tex] Isolating the variable
[tex]\frac{2}{3}[/tex] = b Your answer
I hope this helps!!!