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12/k=2/k+6
We move all terms to the left:
12/k-(2/k+6)=0
Domain of the equation: k!=0
k∈R
Domain of the equation: k+6)!=0We get rid of parentheses
k∈R
12/k-2/k-6=0
We multiply all the terms by the denominator
-6*k+12-2=0
We add all the numbers together, and all the variables
-6k+10=0
We move all terms containing k to the left, all other terms to the right
-6k=-10
k=-10/-6
k=1+2/3
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