Systems and methods for capturing carbon dioxide and regenerating a capture solution

A method comprising:

• capturing carbon dioxide from air with a CO2 capture solution to form a carbonate-rich capture solution;
• separating at least a portion of carbonate from the carbonate-rich capture solution;
• reacting a proton-shuttling species with the portion of carbonate to recover carbon dioxide gas from the portion of carbonate and to form a feed solution;
• flowing a water stream and the feed solution to an electrochemical cell;
• applying an electric potential to the electrochemical cell to form a first product stream that includes a hydroxide and a second product stream comprising the proton-shuttling species;
• flowing the second product stream comprising the proton-shuttling species to react the proton-shuttling species with the portion of carbonate;
• and
• flowing the first product stream to use in capturing the carbon dioxide from the air with the CO2 capture solution.