Final answer:
The colonists' concern over judges' dependence on the king was addressed by granting U.S. Supreme Court Justices lifetime appointments to ensure their independence from the executive and legislative branches.
Step-by-step explanation:
The complaint in the Declaration of Independence about judges being too dependent on the will of the king was addressed in the U.S. Constitution primarily by appointing Supreme Court Justices to serve for life. This is reflected in the Constitution, which indicates that federal judges, including those on the Supreme Court, are to hold office during good behavior, typically interpreted as a lifetime appointment, and can only be removed through the impeachment process.
The lifetime tenure and protection of their salary were designed to provide judicial independence, preventing undue influence from other branches of government, such as the executive or legislative, and thus maintaining a separate and coequal branch of government.