To systematically name the given alkane, we first identify the longest carbon chain, which consists of eight carbon atoms, making it an octane. In this case, since the carbon chain exceeds six carbons, it serves as the parent chain, while the benzene ring acts as a substituent. The benzene substituent is referred to as a phenyl group.

Next, we need to consider the substituents attached to the parent chain. There are two methyl groups present, which are carbon substituents. When numbering the carbon chain, we start from the end closest to the substituent. Thus, we label the carbons as follows: carbon 1 has the phenyl group, and we continue numbering to carbon 8.

In this structure, the methyl groups are located on carbon 5. To accurately convey the position of both methyl groups, we must indicate that they are both on carbon 5. Instead of simply stating "5 dimethyl," which could imply only one methyl group, we specify "5,5-dimethyl" to clarify that there are two identical substituents at that position.

Finally, we combine all the components to form the complete systematic name of the compound: 5,5-dimethyl-1-phenyl-octane. This name reflects the structure and substituents of the alkane accurately, adhering to the IUPAC naming conventions.