k/(k+6)=4/7

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Solution for k/(k+6)=4/7 equation: 



k/(k+6)=4/7

We move all terms to the left:

k/(k+6)-(4/7)=0



Domain of the equation: (k+6)!=0

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

k!=-6

k∈R



We add all the numbers together, and all the variables

k/(k+6)-(+4/7)=0

We get rid of parentheses

k/(k+6)-4/7=0

We calculate fractions


7k/(7k+42)+(-4k-24)/(7k+42)=0

We multiply all the terms by the denominator


7k+(-4k-24)=0

We get rid of parentheses

7k-4k-24=0

We add all the numbers together, and all the variables

3k-24=0

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

3k=24

k=24/3

k=8

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