78=7(4-k)-3(6-8k)

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Solution for 78=7(4-k)-3(6-8k) equation: 



78=7(4-k)-3(6-8k)

We move all terms to the left:

78-(7(4-k)-3(6-8k))=0

We add all the numbers together, and all the variables

-(7(-1k+4)-3(-8k+6))+78=0



We calculate terms in parentheses: -(7(-1k+4)-3(-8k+6)), so:

7(-1k+4)-3(-8k+6)

We multiply parentheses

-7k+24k+28-18

We add all the numbers together, and all the variables

17k+10

Back to the equation:

-(17k+10)



We get rid of parentheses

-17k-10+78=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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