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7(-7k+2)=-14-2k
We move all terms to the left:
7(-7k+2)-(-14-2k)=0
We add all the numbers together, and all the variables
7(-7k+2)-(-2k-14)=0
We multiply parentheses
-49k-(-2k-14)+14=0
We get rid of parentheses
-49k+2k+14+14=0
We add all the numbers together, and all the variables
-47k+28=0
We move all terms containing k to the left, all other terms to the right
-47k=-28
k=-28/-47
k=28/47
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