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4/5k-14=6/5k+2
We move all terms to the left:
4/5k-14-(6/5k+2)=0
Domain of the equation: 5k!=0
k!=0/5
k!=0
k∈R
Domain of the equation: 5k+2)!=0We get rid of parentheses
k∈R
4/5k-6/5k-2-14=0
We multiply all the terms by the denominator
-2*5k-14*5k+4-6=0
We add all the numbers together, and all the variables
-2*5k-14*5k-2=0
Wy multiply elements
-10k-70k-2=0
We add all the numbers together, and all the variables
-80k-2=0
We move all terms containing k to the left, all other terms to the right
-80k=2
k=2/-80
k=-1/40
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