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