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10(4-10k)=-10(3k+10)
We move all terms to the left:
10(4-10k)-(-10(3k+10))=0
We add all the numbers together, and all the variables
10(-10k+4)-(-10(3k+10))=0
We multiply parentheses
-100k-(-10(3k+10))+40=0
We calculate terms in parentheses: -(-10(3k+10)), so:We get rid of parentheses
-10(3k+10)
We multiply parentheses
-30k-100
Back to the equation:
-(-30k-100)
-100k+30k+100+40=0
We add all the numbers together, and all the variables
-70k+140=0
We move all terms containing k to the left, all other terms to the right
-70k=-140
k=-140/-70
k=+2
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