Question

2p/9 + 5p/18 - 5/6 = 2/3 + p/12 + 1/6

Answer 1

$\frac{2p}{9}+\frac{5p}{18}-\frac{5}{6}=\frac{2}{3}+\frac{p}{12}+\frac{1}{6}\ \ \ |Multiply\ by\ 36\\\\ 4*2p+2*5p-5*6=12*2+3*p+6*1\\\\ 8p+10p-30=24+3p+6\\\\ 18p-30=3p+30\ \ \ |Subtract\ 3p\\\\ 15p-30=30\ \ \ |Add\ 30\\\\ 15p=60\ \ \ |Divide\ by\ 15\\\\ \boxed{p=4}$