1/(4k-1)=10

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Solution for 1/(4k-1)=10 equation: 



1/(4k-1)=10

We move all terms to the left:

1/(4k-1)-(10)=0



Domain of the equation: (4k-1)!=0

We move all terms containing k to the left, all other terms to the right

4k!=1

k!=1/4

k!=1/4

k∈R



We multiply all the terms by the denominator


-10*(4k-1)+1=0

We multiply parentheses

-40k+10+1=0

We add all the numbers together, and all the variables

-40k+11=0

We move all terms containing k to the left, all other terms to the right

-40k=-11

k=-11/-40

k=11/40

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