Answer
The solution set is {$-\frac{5}{2}$}
Work Step by Step
$\frac{1}{2}-\frac{1}{3}p=\frac{4}{3}$
The LCD is 6
$6(\frac{1}{2}-\frac{1}{3}p)=\frac{4}{3}6$
Multiply both sides by 6.
$6\cdot(\frac{1}{2})-6\cdot(\frac{1}{3}p)=\frac{4}{3}\cdot(6)$
Distribute and cancel out common factors.
$3-2p=8$
Solve for p.
$3-3-2p=8-3$
$-2p=5$
$\frac{-2}{-2}p=\frac{5}{-2}$
$p=-\frac{5}{2}$
The solution set is {$-\frac{5}{2}$}
