2-(13-3k)=5(4k-14)-9

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Solution for 2-(13-3k)=5(4k-14)-9 equation: 



2-(13-3k)=5(4k-14)-9

We move all terms to the left:

2-(13-3k)-(5(4k-14)-9)=0

We add all the numbers together, and all the variables

-(-3k+13)-(5(4k-14)-9)+2=0

We get rid of parentheses

3k-(5(4k-14)-9)-13+2=0



We calculate terms in parentheses: -(5(4k-14)-9), so:

5(4k-14)-9

We multiply parentheses

20k-70-9

We add all the numbers together, and all the variables

20k-79

Back to the equation:

-(20k-79)



We add all the numbers together, and all the variables

3k-(20k-79)-11=0

We get rid of parentheses

3k-20k+79-11=0

We add all the numbers together, and all the variables

-17k+68=0

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

-17k=-68

k=-68/-17

k=+4

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