How do I solve:

-3/5 < 1/5 - 2/15w < -1/3

\frac{-3}{5}<\frac{1}{5}-\frac{2}{15}w<\frac{-1}{3}

Subtract 1/5 throughout.

Multiply throughout by -15/2. This will isolate the w in the center.

Since you are multiplying by a negative, don't forget to reverse the inequality sign.

Give it a go. Write back if you're still stuck.