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We'll do things like – Make explicit the implicit parentheses – Re-express subtraction as addition by a negative – Express negative operands each instead as a positive operand multiplied by the negative identity – Declutter/unfuck divisors and exponentiation
I must have missed the day in school when they taught us to declutter/unfuck divisors and exponentiation. A rare case of a lesson I am sorry to have missed. 
(Joking aside: interesting how tacit so much of this is.)
Re the initial tweet: that's amazing. Cf what I wrote in the essay Bushra cited later. I think @CTZN5 is right: what's meant by "correct" seems really subtle. Understanding the equals sign (or any other deep piece of mathematics) is open-ended.pic.twitter.com/erjiQ63Vga
On that note, https://en.wikipedia.org/wiki/Order_of_operations … is a deeply frustrating page. OoO is apparently an unresolved thing according to English language wikipedia. It's not.
"canonicalize" is the new "unfuck" 
George Carlin wept
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