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6(4r+9)=3(3r-7)
We move all terms to the left:
6(4r+9)-(3(3r-7))=0
We multiply parentheses
24r-(3(3r-7))+54=0
We calculate terms in parentheses: -(3(3r-7)), so:We get rid of parentheses
3(3r-7)
We multiply parentheses
9r-21
Back to the equation:
-(9r-21)
24r-9r+21+54=0
We add all the numbers together, and all the variables
15r+75=0
We move all terms containing r to the left, all other terms to the right
15r=-75
r=-75/15
r=-5
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