Answer:
b = -2
Explanation:
When an equation such as this one has the variable on both sides, a first step towards solution should be to group together all terms containing that variable.
Given
b - 4 b
------------ = ----------
6 2
we can make this task easier by rewriting the equation with the LCD (which happens to be 6):
b - 4 3b
--------- = --------
6 6
which simplifies to b - 4 = 3b.
Next we need to regroup the b terms: subtracting b from both sides results in -4 = 2b.
Finally, isolate b (solve for b) by dividing both sides by 2:
-2 = b, or b = -2