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1/7k-5=3/7k+3
We move all terms to the left:
1/7k-5-(3/7k+3)=0
Domain of the equation: 7k!=0
k!=0/7
k!=0
k∈R
Domain of the equation: 7k+3)!=0We get rid of parentheses
k∈R
1/7k-3/7k-3-5=0
We multiply all the terms by the denominator
-3*7k-5*7k+1-3=0
We add all the numbers together, and all the variables
-3*7k-5*7k-2=0
Wy multiply elements
-21k-35k-2=0
We add all the numbers together, and all the variables
-56k-2=0
We move all terms containing k to the left, all other terms to the right
-56k=2
k=2/-56
k=-1/28
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