Solve for b. -2 – 5/6 b – 3/2 b = 1/2 b + 4 – 1/3 b b =

Let’s solve the equation step-by-step.

The equation is:

[

-2 – frac{5}{6}b – frac{3}{2}b = frac{1}{2}b + 4 – frac{1}{3}b

]

Step 1: Combine like terms on both sides.

First, let’s convert (-frac{3}{2}b) into sixths for easy addition:

[

-frac{3}{2}b = -frac{9}{6}b

]

Now, rewrite the equation:

[

-2 – frac{5}{6}b – frac{9}{6}b = frac{1}{2}b + 4 – frac{1}{3}b

]

Combine (b) terms on the left:

[

-2 – frac{14}{6}b = frac{1}{2}b + 4 – frac{1}{3}b

]

Step 2: Convert all (b) terms on the right to sixths as well.

[

frac{1}{2}b = frac{3}{6}b quad text{and} quad -frac{1}{3}b = -frac{2}{6}b

]

So, the right side becomes:

[

frac{