Problem Solving

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What goes through your mind when solving a problem? What are the steps you do?

For example doing addition of 48 and 56, some people take 2 from 56, turn 48 into 50, then take 50 from 54 and add it into the 50 that was 48, then finally add the remaining 4 getting 104.
I do 8+6 = 14, keep 4 carry 1, 5+4+1 = 10, therefore the answer is 104

But I'm not necessarily talking about basic arithmetic here, talk about whatever field of problems you solve and how you go through them.