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Verified Answer :

SJ2006

3-2b/9 = b/3-7

3+7 = b/3+2b/9

10 = 5b/9

5b = 90

b= 90/5

b= 18

Answer:

The value of the equation is 18

Step-by-step explanation:

Consider the provided equation.

\(3-\frac{2}{9}b = \frac{1}{3}b -7\)  

Subtract 3 from both the sides.

\(3-\frac{2}{9}b-3=\frac{1}{3}b-7-3\)

\(-\frac{2}{9}b=\frac{1}{3}b-10\)

Subtract 1/3b from both sides.

\(-\frac{2}{9}b-\frac{1}{3}b=\frac{1}{3}b-10-\frac{1}{3}b\)

\(-\frac{5}{9}b=-10\)

Multiply both the sides by -9/5.

\(}b=-10\times \frac{-9}{5}\)

\(}b=18\)

Hence, the value of the equation is 18