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6(4k+5)=-38+7k
We move all terms to the left:
6(4k+5)-(-38+7k)=0
We add all the numbers together, and all the variables
6(4k+5)-(7k-38)=0
We multiply parentheses
24k-(7k-38)+30=0
We get rid of parentheses
24k-7k+38+30=0
We add all the numbers together, and all the variables
17k+68=0
We move all terms containing k to the left, all other terms to the right
17k=-68
k=-68/17
k=-4
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