1+7r+1-r=9(1-9r)+10(10-2r)

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Solution for 1+7r+1-r=9(1-9r)+10(10-2r) equation: 



1+7r+1-r=9(1-9r)+10(10-2r)

We move all terms to the left:

1+7r+1-r-(9(1-9r)+10(10-2r))=0

We add all the numbers together, and all the variables

7r-r-(9(-9r+1)+10(-2r+10))+1+1=0

We add all the numbers together, and all the variables

6r-(9(-9r+1)+10(-2r+10))+2=0



We calculate terms in parentheses: -(9(-9r+1)+10(-2r+10)), so:

9(-9r+1)+10(-2r+10)

We multiply parentheses

-81r-20r+9+100

We add all the numbers together, and all the variables

-101r+109

Back to the equation:

-(-101r+109)



We get rid of parentheses

6r+101r-109+2=0

We add all the numbers together, and all the variables

107r-107=0

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

107r=107

r=107/107

r=1

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