$$a_{n}=5n-3$$
$n=\frac{a_{n}+3}{5}$
$$5n-3=a_{n}$$
$$5n=a_{n}+3$$
$$\frac{5n}{5}=\frac{a_{n}+3}{5}$$
$$n=\frac{a_{n}+3}{5}$$
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$a_{n}=5n-3$