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1/4k-5=3/4k+5
We move all terms to the left:
1/4k-5-(3/4k+5)=0
Domain of the equation: 4k!=0
k!=0/4
k!=0
k∈R
Domain of the equation: 4k+5)!=0We get rid of parentheses
k∈R
1/4k-3/4k-5-5=0
We multiply all the terms by the denominator
-5*4k-5*4k+1-3=0
We add all the numbers together, and all the variables
-5*4k-5*4k-2=0
Wy multiply elements
-20k-20k-2=0
We add all the numbers together, and all the variables
-40k-2=0
We move all terms containing k to the left, all other terms to the right
-40k=2
k=2/-40
k=-1/20
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