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10r+6=3r+12-2r/3
We move all terms to the left:
10r+6-(3r+12-2r/3)=0
We add all the numbers together, and all the variables
10r-(3r-2r/3+12)+6=0
We get rid of parentheses
10r-3r+2r/3-12+6=0
We multiply all the terms by the denominator
10r*3-3r*3+2r-12*3+6*3=0
We add all the numbers together, and all the variables
2r+10r*3-3r*3-18=0
Wy multiply elements
2r+30r-9r-18=0
We add all the numbers together, and all the variables
23r-18=0
We move all terms containing r to the left, all other terms to the right
23r=18
r=18/23
r=18/23
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