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1-(8k+7)=-6k-22
We move all terms to the left:
1-(8k+7)-(-6k-22)=0
We get rid of parentheses
-8k+6k-7+22+1=0
We add all the numbers together, and all the variables
-2k+16=0
We move all terms containing k to the left, all other terms to the right
-2k=-16
k=-16/-2
k=+8
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