4/k+9=-2/k-5

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Solution for 4/k+9=-2/k-5 equation: 



4/k+9=-2/k-5

We move all terms to the left:

4/k+9-(-2/k-5)=0



Domain of the equation: k!=0

k∈R





Domain of the equation: k-5)!=0

k∈R



We get rid of parentheses

4/k+2/k+5+9=0

We multiply all the terms by the denominator


5*k+9*k+4+2=0

We add all the numbers together, and all the variables

14k+6=0

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

14k=-6

k=-6/14

k=-3/7

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