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Fire crews were called to Burnham Road, Dartford last night after a car crash.
They received the call at 8.30pm and went to the scene where two cars were said to have crashed.
Police and an ambulance were also in attendance.
A fire brigade spokesman said: "We used hydraulic cutting equipment to remove the roof of a vehicle to free a woman who was trapped following a crash.
"The young woman was placed on a spinal longboard into the care of the ambulance service and given first aid at the scene by paramedics."
Burnham Road was closed by police during the incident.