6(7-k)=12(8-2k)

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Solution for 6(7-k)=12(8-2k) equation: 



6(7-k)=12(8-2k)

We move all terms to the left:

6(7-k)-(12(8-2k))=0

We add all the numbers together, and all the variables

6(-1k+7)-(12(-2k+8))=0

We multiply parentheses

-6k-(12(-2k+8))+42=0



We calculate terms in parentheses: -(12(-2k+8)), so:

12(-2k+8)

We multiply parentheses

-24k+96

Back to the equation:

-(-24k+96)



We get rid of parentheses

-6k+24k-96+42=0

We add all the numbers together, and all the variables

18k-54=0

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

18k=54

k=54/18

k=3

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