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French word chauffage comes from French -age, French chauffer
-age (French)
(rare) Forming collective nouns.. Forming nouns with the sense of "action or result of Xing" or, more rarely, "action related to X".. Forming nouns with the sense of "state of being (a) X".
chauffer (French)
(slang) to tease, to entice sexually, to arouse. To heat, to warm, to warm up.
chauffage (French)
Heating.