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7(10-3n)=5(15-4n)
We move all terms to the left:
7(10-3n)-(5(15-4n))=0
We add all the numbers together, and all the variables
7(-3n+10)-(5(-4n+15))=0
We multiply parentheses
-21n-(5(-4n+15))+70=0
We calculate terms in parentheses: -(5(-4n+15)), so:We get rid of parentheses
5(-4n+15)
We multiply parentheses
-20n+75
Back to the equation:
-(-20n+75)
-21n+20n-75+70=0
We add all the numbers together, and all the variables
-1n-5=0
We move all terms containing n to the left, all other terms to the right
-n=5
n=5/-1
n=-5
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