$$\frac { 11 } { 2 } - \frac { 3 n } { 4 } + \frac { 5 n } { 6 } = 21$$
$n=186$
$$66-3\times 3n+2\times 5n=252$$
$$66-9n+2\times 5n=252$$
$$66-9n+10n=252$$
$$66+n=252$$
$$n=252-66$$
$$n=186$$
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