-1/2+3/8w=-1/3

Sure, let's solve the equation step by step:

-1/2 + 3/8w = -1/3

First, let's get rid of the fractions by multiplying the entire equation by the least common multiple (LCM) of 2, 8, and 3, which is 24:

24*(-1/2) + 24*(3/8w) = 24*(-1/3)

This simplifies to:

-12 + 9w = -8

Next, let's isolate the term with the variable (w) by adding 12 to both sides of the equation:

9w = -8 + 12

This simplifies to:

9w = 4

Finally, let's solve for w by dividing both sides of the equation by 9:

w = 4/9

So, the solution to the equation is w = 4/9.