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xkcd #3038: Uncanceled Units
(xkcd.com)
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That is true whether you express the energy as kWh or MJ.
It's becoming clear to me that you don't either. KW is not the same as kWh, the latter does not have a time component anymore despite the name. Watt is the amount of joules per second. kWh is the amount of energy spend it you use 1KW for an hour regardless of the time that amount of energy is spend in similar to how a lightyear is the distance that light travels in a year regardless of how long you take to travel that far.
So a lightyear is an acceptable non-cancelation of units [(m/s)*year] but kilowatt hours [(j/s)*s] isnt. Got it.
Glad to see reading comprehension is at an all time high.