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Fire crews have deemed an outbuilding was set on fire deliberately.
At 5.30am, eight firefighters attended the blaze, in Lower Range Road, Gravesend.
They used a hose reel jet to put out the flames.
No injuries were reported and nobody was inside the building when crews got to the scene.
The incident is said to be deliberate and details have been passed to the police.
Fire crews left the site at 5.38am.