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-2a/a+3=4/a-7
We move all terms to the left:
-2a/a+3-(4/a-7)=0
Domain of the equation: a!=0
a∈R
Domain of the equation: a-7)!=0We get rid of parentheses
a∈R
-2a/a-4/a+7+3=0
We multiply all the terms by the denominator
-2a+7*a+3*a-4=0
We add all the numbers together, and all the variables
8a-4=0
We move all terms containing a to the left, all other terms to the right
8a=4
a=4/8
a=1/2
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