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5a-11=12a+10
We move all terms to the left:
5a-11-(12a+10)=0
We get rid of parentheses
5a-12a-10-11=0
We add all the numbers together, and all the variables
-7a-21=0
We move all terms containing a to the left, all other terms to the right
-7a=21
a=21/-7
a=-3
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