Answer:
r = 1/4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
- [tex](\frac{5}{3}r - r) + (\frac{1}{3}) = 2r[/tex]
- [tex]\frac{2}{3}r+\frac{1}{3} = 2r[/tex]
Step 2: Subtract 2r from both sides.
- [tex]\frac{2}{3}r +\frac{1}{3} - 2r = 2r - 2r[/tex]
- [tex]\frac{-4}{3}r+\frac{1}{3}=0[/tex]
Step 3: Subtract 1/3 from both sides.
- [tex]-\frac{4}{3}r+\frac{1}{3} -\frac{1}{3} =0-\frac{1}{3}[/tex]
- [tex]-\frac{4}{3}r=-\frac{1}{3}[/tex]
Step 4: Multiply both sides by -3/4.
- [tex]-\frac{4}{3}r*\frac{3}{-4} =\frac{-1}{3} *\frac{3}{-4}[/tex]
- [tex]r = \frac{1}{4}[/tex]
Therefore, r = 1/4.
