Final answer:
The statement 'then African Americans again' means that African Americans were given voting rights after property-less white men.
Step-by-step explanation:
The statement 'then African Americans again' means that African Americans were given voting rights after property-less white men. Initially, property requirements for voting were used by states to deny suffrage to both property-less white men and African American men. However, when states began to abolish property requirements in the 1830s, many states restricted suffrage to white men only, excluding African American men from voting. Therefore, the phrase 'then African Americans again' indicates that African Americans later gained voting rights after property-less white men.