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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Stamp duty is to be abolished for first-time buyers on properties up to £300,000, Chancellor Philip Hammond has announced in his Budget.
The money will help pay for mental health and counselling services, regeneration in the west London neighbourhood and a new community space.
The small device was hidden in a grate in the ceiling in the only customer toilet at a Starbucks coffee shop.