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6(-2+6k)=-4(9-3k)
We move all terms to the left:
6(-2+6k)-(-4(9-3k))=0
We add all the numbers together, and all the variables
6(6k-2)-(-4(-3k+9))=0
We multiply parentheses
36k-(-4(-3k+9))-12=0
We calculate terms in parentheses: -(-4(-3k+9)), so:We get rid of parentheses
-4(-3k+9)
We multiply parentheses
12k-36
Back to the equation:
-(12k-36)
36k-12k+36-12=0
We add all the numbers together, and all the variables
24k+24=0
We move all terms containing k to the left, all other terms to the right
24k=-24
k=-24/24
k=-1
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