2|4w-1|=3|4w+2| solve for w

Alright, in this, there are 2 ways - 4w-1 and 4w+2 are either both positive or negative. Starting with positive, we have 8w-2=12w+6 and by subtracting 8w and 6 from both sides we have - 8=4w and w=-2. Next, we have negatives, so 2 (-1) (4w-1) = 3 (-1) (4w+2). We can just divide - 1 by both sides and we have the same equation as if it were positive, so there's only one solution, which is - 2