(5k-3(k-2))/4=-6

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Solution for (5k-3(k-2))/4=-6 equation: 



(5k-3(k-2))/4=-6

We move all terms to the left:

(5k-3(k-2))/4-(-6)=0

We add all the numbers together, and all the variables

(5k-3(k-2))/4+6=0

We multiply all the terms by the denominator


(5k-3(k-2))+6*4=0



We calculate terms in parentheses: +(5k-3(k-2)), so:

5k-3(k-2)

We multiply parentheses

5k-3k+6

We add all the numbers together, and all the variables

2k+6

Back to the equation:

+(2k+6)



We add all the numbers together, and all the variables

(2k+6)+24=0

We get rid of parentheses

2k+6+24=0

We add all the numbers together, and all the variables

2k+30=0

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

2k=-30

k=-30/2

k=-15

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