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