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why is the marginal revenue found by doubling the slope of the price?

in the video, prof said that this short-cut can be used on all cases as long as the it's a linear demand curve. why is that?
the original question was:
p=100-2Q
fc=100 mc=20
and you get
mr=100-4Q

thank you ! and sorry for my bad english if you do nit understand my question well, i don't speak english

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