7-3(-4+3r)=10r+3(1-9r)

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Solution for 7-3(-4+3r)=10r+3(1-9r) equation:



7-3(-4+3r)=10r+3(1-9r)
We move all terms to the left:
7-3(-4+3r)-(10r+3(1-9r))=0
We add all the numbers together, and all the variables
-3(3r-4)-(10r+3(-9r+1))+7=0
We multiply parentheses
-9r-(10r+3(-9r+1))+12+7=0
We calculate terms in parentheses: -(10r+3(-9r+1)), so:
10r+3(-9r+1)
We multiply parentheses
10r-27r+3
We add all the numbers together, and all the variables
-17r+3
Back to the equation:
-(-17r+3)
We add all the numbers together, and all the variables
-9r-(-17r+3)+19=0
We get rid of parentheses
-9r+17r-3+19=0
We add all the numbers together, and all the variables
8r+16=0
We move all terms containing r to the left, all other terms to the right
8r=-16
r=-16/8
r=-2

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