$$5p+3=\frac{4}{3}(p+1)$$
$p=-\frac{5}{11}\approx -0.454545455$
$$5p+3=\frac{4}{3}p+\frac{4}{3}$$
$$5p+3-\frac{4}{3}p=\frac{4}{3}$$
$$\frac{11}{3}p+3=\frac{4}{3}$$
$$\frac{11}{3}p=\frac{4}{3}-3$$
$$\frac{11}{3}p=\frac{4}{3}-\frac{9}{3}$$
$$\frac{11}{3}p=\frac{4-9}{3}$$
$$\frac{11}{3}p=-\frac{5}{3}$$
$$p=-\frac{5}{3}\times \frac{3}{11}$$
$$p=\frac{-5\times 3}{3\times 11}$$
$$p=\frac{-5}{11}$$
$$p=-\frac{5}{11}$$
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