Solve for $r$. \[ \begin{array}{l} \frac{1}{3}+\frac{5}{3} r-r=2 r \\ r= \end{array} \]

Step 1 ：The question is asking to solve for $r$ in the equation $\frac{1}{3}+\frac{5}{3} r-r=2 r$.

Step 2 ：To solve for $r$, we need to simplify the equation and isolate $r$ on one side of the equation.

Step 3 ：Simplify the equation to get $0.666666666666667*r + 0.333333333333333 = 2*r$

Step 4 ：Solving this equation gives the solution $r = 0.25$

Step 5 ：This means that when $r = 0.25$, the equation is satisfied.

Step 6 ：Final Answer: $r = \boxed{0.25}$