Martin Asolo-Agogua, 23, has now been charged with causing death by dangerous driving and causing death by careless driving when under influence of drink or drugs.
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Ada Bicakci died in hospital on 5 August last year, two days after the incident in Bexleyheath.
He's also been charged with driving while over the drug limit, said Metropolitan Police.
A man has been charged over the death of a nine-year-old girl hit by a bus in southeast London.