Given:
The expression given is,
[tex]3-\frac{2}{9}b=\frac{1}{3}b-7[/tex]
Required:
To find the value of b.
Explanation:
We have the given expression as:
[tex]3-\frac{2}{9}b=\frac{1}{3}b-7[/tex]
Let us find the value of b.
[tex]\begin{gathered} 3-\frac{2}{9}b=\frac{1}{3}b-7 \\ \Rightarrow\frac{b}{3}+\frac{2b}{9}=3+7 \\ \Rightarrow\frac{3b+2b}{9}=10 \\ \Rightarrow\frac{5b}{9}=10 \\ \Rightarrow5b=9\times10 \\ \Rightarrow5b=90 \\ \Rightarrow b=\frac{90}{5} \\ \Rightarrow b=18 \end{gathered}[/tex]
Final Answer:
The value of b is,
[tex]b=18[/tex]
