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3(4r-5)=71/2+3r
We move all terms to the left:
3(4r-5)-(71/2+3r)=0
Domain of the equation: 2+3r)!=0We add all the numbers together, and all the variables
We move all terms containing r to the left, all other terms to the right
3r)!=-2
r!=-2/1
r!=-2
r∈R
3(4r-5)-(+3r+71/2)=0
We multiply parentheses
12r-(+3r+71/2)-15=0
We get rid of parentheses
12r-3r-15-71/2=0
We multiply all the terms by the denominator
12r*2-3r*2-71-15*2=0
We add all the numbers together, and all the variables
12r*2-3r*2-101=0
Wy multiply elements
24r-6r-101=0
We add all the numbers together, and all the variables
18r-101=0
We move all terms containing r to the left, all other terms to the right
18r=101
r=101/18
r=5+11/18
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