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3a-6=7a+6
We move all terms to the left:
3a-6-(7a+6)=0
We get rid of parentheses
3a-7a-6-6=0
We add all the numbers together, and all the variables
-4a-12=0
We move all terms containing a to the left, all other terms to the right
-4a=12
a=12/-4
a=-3
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