You should contact your insurance company's claims department. If you hit the rear of the vehicle in front of you, their insurance would not pay for your repairs. The person in the rear is usually determined to be at fault and thus the front car would not be responsible for your repairs. If you have comprehensive and collision coverage you can submit a claim for that and may be able to recover the deductible from the rear party that hit you. Again talk to your company's claims department to resolve the damage to the front of your car.

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