$$\frac{8p-5}{7p+1}=\frac{-2}{4}$$
$p=\frac{9}{23}\approx 0.391304348$
$$4\left(8p-5\right)=\left(7p+1\right)\left(-2\right)$$
$$32p-20=\left(7p+1\right)\left(-2\right)$$
$$32p-20=-14p-2$$
$$32p-20+14p=-2$$
$$46p-20=-2$$
$$46p=-2+20$$
$$46p=18$$
$$p=\frac{18}{46}$$
$$p=\frac{9}{23}$$
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