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1/2a+7=11/2a+3
We move all terms to the left:
1/2a+7-(11/2a+3)=0
Domain of the equation: 2a!=0
a!=0/2
a!=0
a∈R
Domain of the equation: 2a+3)!=0We get rid of parentheses
a∈R
1/2a-11/2a-3+7=0
We multiply all the terms by the denominator
-3*2a+7*2a+1-11=0
We add all the numbers together, and all the variables
-3*2a+7*2a-10=0
Wy multiply elements
-6a+14a-10=0
We add all the numbers together, and all the variables
8a-10=0
We move all terms containing a to the left, all other terms to the right
8a=10
a=10/8
a=1+1/4
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