Simplify the following text for a Grade 7 native English-speaking person.
Original: Lamotte-du-Rh Ã ne is a commune in the Vaucluse department in the Provence-Alpes-C Ã te d'Azur region in southeastern France .
Simplified: Lamotte-du-Rh Ã ne is a commune of 416 people ( 1999 ) . It is located in the region Provence-Alpes-C Ã te d'Azur in the Vaucluse department in the south of France .