$$\frac{n}{2}+\frac{3n}{4}+\frac{n}{6}=3$$
$n = \frac{36}{17} = 2\frac{2}{17} \approx 2.117647059$
$$6n+3\times 3n+2n=36$$
$$6n+9n+2n=36$$
$$15n+2n=36$$
$$17n=36$$
$$n=\frac{36}{17}$$
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