6 The first son she bears shall carry on the name of the dead brother so that his name will not be blotted out from Israel.

Read Deuteronomy 25:6 Using Other Translations

And it shall be, that the firstborn which she beareth shall succeed in the name of his brother which is dead, that his name be not put out of Israel.
And the first son whom she bears shall succeed to the name of his dead brother, that his name may not be blotted out of Israel.
The first son she bears to him will be considered the son of the dead brother, so that his name will not be forgotten in Israel.