All DC motors used for such a purpose have a tachometer and feedback regulation circuit that controls the motor voltage. It's most commonly built right into the motor itself (just like a cassette-deck capstan motor) but occasionally you'll find it as a circuit external to the motor.
Simply regulating the value of the input voltage will not keep a DC motor at an exact speed.
Simply regulating the value of the input voltage will not keep a DC motor at an exact speed.