Using the abbreviations for lysine and SAM shown in Eq. 11.60a, write a curved-arrow mechanism for the formation of N,Ndimethyllysine. Assume that acids (⁺BH) and bases (:B) are available as necessary.

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R-NH₂ + H₂C-5 lysine SAM R¹ R² enzymes R—NH,—CH3 N-methyllysine R—NH—CH3 CH3 N,N-dimethyllysine CH3 R-N CH3 + S CH3 N, N,N-trimethyllysine R¹ (11.60a)