Final answer:
The common claim in both arguments is that all citizens should value and exercise their right to vote, emphasizing the importance of political participation in a democracy.
Step-by-step explanation:
The common claim shared by the two arguments is that all citizens should value and exercise their right to vote. Both arguments discuss the importance of political participation and the right to vote as crucial factors for a vibrant democracy. They highlight the efforts made historically by African Americans and women to secure voting rights comparable to those of white males and suggest that all citizens, including those from minority groups, should actively participate in the electoral process.
One argument specifically notes the need for black citizens to exercise their voting rights to learn self-government, while the other addresses the broader issue of encouraging voter turnout among all demographics to ensure a healthy democracy. Neither argument suggests that citizens should rely solely on others' advice when voting or that black citizens should focus on maintaining the confidence of white citizens as a primary objective.