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An example would be the reaction 2H2O --> H3O+ + OH-, where the conjugate base of H2O is OH- and the conjugate acid of H2O is H3O+. In the opposite reaction H3O+ + OH- --> 2H2O, the conjugate base of H3O+ would be H2O, and the conjugate acid of OH- would be H2O. You simply add a proton to find the conjugate acid, and remove a proton to find the conjugate base.
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