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The operators of b→sγ,b→sl+l-are usually regarded as being sufficient to describe b→sγγ,b→sl+l-γwith the statement that contributions from diagrams without an effective vertex b→sγ to processes b→sγγand b→sl+l-γ are negligible.In this work we present a comprehensive analysis of the transition b→sγγand find that 1)Effects due to off-shell quarks in vertex b→sγ on b→sγγ are large; 2)Contributions from diagrams without an effective vertex b→sγ to b→sγγare not negligible compared with others; 3)These effects cancel each other out exactly,so the operators of b→sγ can safely be used to describe b→sγγ.