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Simplified Physics: Forget about E=mc²
This is a table from Wikipedia:
en.wikipedia.org/wiki/Planck_units#Simplification_of_physical_equations.
Translate into English
en.wikipedia.org/wiki/Planck_units#Simplification_of_physical_equations.
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By the way, getting rid of units also can have didactical and mathetical disadvantages: Units help to check whether a calculation makes sense.
Example for an excellent and as simple as possible (and yet not too simple) textbook which uses the traditional SI-units: