$$p-5\frac{1}{2}=2p+1$$
$p = -\frac{13}{2} = -6\frac{1}{2} = -6.5$
$$2p-\left(5\times 2+1\right)=4p+2$$
$$2p-\left(10+1\right)=4p+2$$
$$2p-11=4p+2$$
$$2p-11-4p=2$$
$$-2p-11=2$$
$$-2p=2+11$$
$$-2p=13$$
$$p=\frac{13}{-2}$$
$$p=-\frac{13}{2}$$
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