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4/5k-3=2/5k-5
We move all terms to the left:
4/5k-3-(2/5k-5)=0
Domain of the equation: 5k!=0
k!=0/5
k!=0
k∈R
Domain of the equation: 5k-5)!=0We get rid of parentheses
k∈R
4/5k-2/5k+5-3=0
We multiply all the terms by the denominator
5*5k-3*5k+4-2=0
We add all the numbers together, and all the variables
5*5k-3*5k+2=0
Wy multiply elements
25k-15k+2=0
We add all the numbers together, and all the variables
10k+2=0
We move all terms containing k to the left, all other terms to the right
10k=-2
k=-2/10
k=-1/5
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