7(-2-4r)+7r=-5(r+6)

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Solution for 7(-2-4r)+7r=-5(r+6) equation:



7(-2-4r)+7r=-5(r+6)
We move all terms to the left:
7(-2-4r)+7r-(-5(r+6))=0
We add all the numbers together, and all the variables
7(-4r-2)+7r-(-5(r+6))=0
We add all the numbers together, and all the variables
7r+7(-4r-2)-(-5(r+6))=0
We multiply parentheses
7r-28r-(-5(r+6))-14=0
We calculate terms in parentheses: -(-5(r+6)), so:
-5(r+6)
We multiply parentheses
-5r-30
Back to the equation:
-(-5r-30)
We add all the numbers together, and all the variables
-21r-(-5r-30)-14=0
We get rid of parentheses
-21r+5r+30-14=0
We add all the numbers together, and all the variables
-16r+16=0
We move all terms containing r to the left, all other terms to the right
-16r=-16
r=-16/-16
r=1

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