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2/3a-3=1/3a+6
We move all terms to the left:
2/3a-3-(1/3a+6)=0
Domain of the equation: 3a!=0
a!=0/3
a!=0
a∈R
Domain of the equation: 3a+6)!=0We get rid of parentheses
a∈R
2/3a-1/3a-6-3=0
We multiply all the terms by the denominator
-6*3a-3*3a+2-1=0
We add all the numbers together, and all the variables
-6*3a-3*3a+1=0
Wy multiply elements
-18a-9a+1=0
We add all the numbers together, and all the variables
-27a+1=0
We move all terms containing a to the left, all other terms to the right
-27a=-1
a=-1/-27
a=1/27
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