Either the BRAKE FLUID LEVEL IS LOW in the brake master cylinder
in your
engine compartment or your parking brake / emergency brake is
still engaged
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The brake lights and the tail lights are separate circuits.
Check the brake light fuse, then check the brake light bulbs, then
check the brake light switch.
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Brake Lights Stay on Unless the Brake Pedal is Raised
This is usually caused by the brake light switch being out of adjustment in its physical distance to the contact point on the brake pedal arm.
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Check the brake light switch on the brake pedal
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The brake light switch located above the brake pedal is broken
or out of adjustment.