Answer:
b = [tex]\frac{27}{2}[/tex]
Step-by-step explanation:
Given
2 - [tex]\frac{b}{3}[/tex] = - [tex]\frac{5}{2}[/tex]
Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions
12 - 2b = - 15 ( subtract 12 from both sides )
- 2b = - 27 ( divide both sides by - 2 )
b = [tex]\frac{-27}{-2}[/tex] = [tex]\frac{27}{2}[/tex]