We have 6 carbon atoms in $\mathrm{C}_{6} \mathrm{H}_{14}$ and 1 carbon atom in $\mathrm{CO}_{2}$. To balance the carbon atoms, we put a 6 in front of $\mathrm{CO}_{2}$, so we have 6 carbon atoms on both sides. The equation becomes:
$$
\mathrm{C}_{6}
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