Given the equation:
-1/3 = -1/2w - 8/5
1. Add 8/5 to both sides:
-1/3 + 8/5 = -1/2w
2. Find a common denominator, which is 15:
-5/15 + 24/15 = -1/2w
19/15 = -1/2w
3. Multiply both sides by -2:
w = 19/15 * -2
w = -38/15
So, the solution for w is -38/15.