$$n+n+\frac{7}{2}+n+\frac{7}{2}+\frac{16}{3}=\frac{121}{2}$$
$n = \frac{289}{18} = 16\frac{1}{18} \approx 16.055555556$
$$2n+\frac{7}{2}+n+\frac{7}{2}+\frac{16}{3}=\frac{121}{2}$$
$$3n+\frac{7}{2}+\frac{7}{2}+\frac{16}{3}=\frac{121}{2}$$
$$3n+\frac{7+7}{2}+\frac{16}{3}=\frac{121}{2}$$
$$3n+\frac{14}{2}+\frac{16}{3}=\frac{121}{2}$$
$$3n+7+\frac{16}{3}=\frac{121}{2}$$
$$3n+\frac{21}{3}+\frac{16}{3}=\frac{121}{2}$$
$$3n+\frac{21+16}{3}=\frac{121}{2}$$
$$3n+\frac{37}{3}=\frac{121}{2}$$
$$3n=\frac{121}{2}-\frac{37}{3}$$
$$3n=\frac{363}{6}-\frac{74}{6}$$
$$3n=\frac{363-74}{6}$$
$$3n=\frac{289}{6}$$
$$n=\frac{\frac{289}{6}}{3}$$
$$n=\frac{289}{6\times 3}$$
$$n=\frac{289}{18}$$
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