The London Fire and Emergency Planning Authority said the seven councils had confirmed they will not appeal. This means the reductions in fire stations and fire appliances "will proceed as planned, on 9 January 2014."
The cuts are part of the fifth London Safety Plan, which details how the authority will deliver the capital's fire and rescue service over the next three years, and includes plans agreed in September to close the 10 fire stations.
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Dry with clear spells periods across the south tonight, further north, cloudier conditions bring the chance chance of light showers.
Five-year-old Yusuf Abdismad died from meningitis in January after a mix-up between emergency operators, it has emerged.
A strike by members of four unions, RMT, Aslef, TSSA and Unite, is expected to bring the Underground to a standstill tomorrow evening.