Concept:
To find a synonym, we identify the option whose meaning is closest to the given word.
Step 1: Understand the meaning of "accomplish".
The word accomplish means:
• to achieve a goal
• to carry out successfully
• to attain a desired result
• to fulfill an objective
Examples:
• She accomplished her mission successfully.
• Hard work helps us accomplish our goals.
Step 2: Compare the options.
• Accommodate: To provide space or lodging.
• Achieve: To successfully reach a goal or objective.
• Complete: To finish a task.
• Fail: To be unsuccessful.
Although complete is closely related, the broader and more accurate synonym of accomplish is achieve, because it emphasizes attaining a goal through effort.
Therefore,
\[
\boxed{\text{Achieve}}
\]