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21/2z+10=1/2z-6
We move all terms to the left:
21/2z+10-(1/2z-6)=0
Domain of the equation: 2z!=0
z!=0/2
z!=0
z∈R
Domain of the equation: 2z-6)!=0We get rid of parentheses
z∈R
21/2z-1/2z+6+10=0
We multiply all the terms by the denominator
6*2z+10*2z+21-1=0
We add all the numbers together, and all the variables
6*2z+10*2z+20=0
Wy multiply elements
12z+20z+20=0
We add all the numbers together, and all the variables
32z+20=0
We move all terms containing z to the left, all other terms to the right
32z=-20
z=-20/32
z=-5/8
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