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15=-8k-7k
We move all terms to the left:
15-(-8k-7k)=0
We add all the numbers together, and all the variables
-(-15k)+15=0
We get rid of parentheses
15k+15=0
We move all terms containing k to the left, all other terms to the right
15k=-15
k=-15/15
k=-1
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