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2/3k-8=1/3k-10
We move all terms to the left:
2/3k-8-(1/3k-10)=0
Domain of the equation: 3k!=0
k!=0/3
k!=0
k∈R
Domain of the equation: 3k-10)!=0We get rid of parentheses
k∈R
2/3k-1/3k+10-8=0
We multiply all the terms by the denominator
10*3k-8*3k+2-1=0
We add all the numbers together, and all the variables
10*3k-8*3k+1=0
Wy multiply elements
30k-24k+1=0
We add all the numbers together, and all the variables
6k+1=0
We move all terms containing k to the left, all other terms to the right
6k=-1
k=-1/6
k=-1/6
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