Solution:
The parent chain is a nonane, which is a nine-carbon chain (prefix non-) with only single bonds (suffix -ane). The terminal carbons have 3 hydrogens atoms bonded, while the middle carbons have 2 hydrogen atoms bonded.
The ethyl group is derived from ethane, a two-carbon chain with 3 hydrogen atoms bonded to each, but one hydrogen replaced by a carbon from the parent function.
Therefore, from the parent function nonane, the hydrogen atoms decrease by 1 per each ethyl group, but gets replaced by 2 carbons and 5 hydrogens.
Therefore, the total number of carbons is C=9+3\left(2\right)=15 and the number of hydrogens is H=3\left(2\right)+2\left(9-2\right)-3\left(1\right)+3\left(5\right)=32
Therefore, the condensed formula for 3,3,4-triethylnonane is C_{15}H_{32}