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1/2+a=13/2-a
We move all terms to the left:
1/2+a-(13/2-a)=0
Domain of the equation: 2-a)!=0We add all the numbers together, and all the variables
We move all terms containing a to the left, all other terms to the right
-a)!=-2
a!=-2/1
a!=-2
a∈R
a-(-1a+13/2)+1/2=0
We get rid of parentheses
a+1a-13/2+1/2=0
We multiply all the terms by the denominator
a*2+1a*2-13+1=0
We add all the numbers together, and all the variables
a*2+1a*2-12=0
Wy multiply elements
2a+2a-12=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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