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6+6(5+7k)=-12-6k
We move all terms to the left:
6+6(5+7k)-(-12-6k)=0
We add all the numbers together, and all the variables
6(7k+5)-(-6k-12)+6=0
We multiply parentheses
42k-(-6k-12)+30+6=0
We get rid of parentheses
42k+6k+12+30+6=0
We add all the numbers together, and all the variables
48k+48=0
We move all terms containing k to the left, all other terms to the right
48k=-48
k=-48/48
k=-1
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