Answer
The answer is $L=\frac{12P+W}{2}$.
Work Step by Step
The given expression is $ 3P=\frac{2L-W}{4} $
Multiply both sides by $4$.
$4\cdot 3P= 4\cdot \left (\frac{2L-W}{4} \right )$
Simplify.
$12P=2L-W$
Add $W$ to both sides.
$12P+W=2L-W+W$
Simplify.
$12P+W=2L$
Divide both sides by $2$.
$\frac{12P+W}{2}=\frac{2L}{2}$
Simplify.
$\frac{12P+W}{2}=L$
Rearrange.
$L=\frac{12P+W}{2}$.
