Problem

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

Answer

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Answer

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

Steps

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: $r = \boxed{0.25}$

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