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6a-9=4a-1
We move all terms to the left:
6a-9-(4a-1)=0
We get rid of parentheses
6a-4a+1-9=0
We add all the numbers together, and all the variables
2a-8=0
We move all terms containing a to the left, all other terms to the right
2a=8
a=8/2
a=4
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