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

1 answer:

4 0

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

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