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