1/3r-11=2/3r+6

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Solution for 1/3r-11=2/3r+6 equation: 



1/3r-11=2/3r+6

We move all terms to the left:

1/3r-11-(2/3r+6)=0



Domain of the equation: 3r!=0

r!=0/3

r!=0

r∈R





Domain of the equation: 3r+6)!=0

r∈R



We get rid of parentheses

1/3r-2/3r-6-11=0

We multiply all the terms by the denominator


-6*3r-11*3r+1-2=0

We add all the numbers together, and all the variables

-6*3r-11*3r-1=0

Wy multiply elements

-18r-33r-1=0

We add all the numbers together, and all the variables

-51r-1=0

We move all terms containing r to the left, all other terms to the right

-51r=1

r=1/-51

r=-1/51

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