Expand.
\[7r+\frac{2}{3}=-7+14r\]
Regroup terms.
\[7r+\frac{2}{3}=14r-7\]
Subtract \(7r\) from both sides.
\[\frac{2}{3}=14r-7-7r\]
Simplify \(14r-7-7r\) to \(7r-7\).
\[\frac{2}{3}=7r-7\]
Add \(7\) to both sides.
\[\frac{2}{3}+7=7r\]
Simplify \(\frac{2}{3}+7\) to \(\frac{23}{3}\).
\[\frac{23}{3}=7r\]
Divide both sides by \(7\).
\[\frac{\frac{23}{3}}{7}=r\]
Simplify \(\frac{\frac{23}{3}}{7}\) to \(\frac{23}{3\times 7}\).
\[\frac{23}{3\times 7}=r\]
Simplify \(3\times 7\) to \(21\).
\[\frac{23}{21}=r\]
Switch sides.
\[r=\frac{23}{21}\]
Decimal Form: 1.095238
r=23/21
