8=4(4k+1)+7(4-4k)

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Solution for 8=4(4k+1)+7(4-4k) equation: 



8=4(4k+1)+7(4-4k)

We move all terms to the left:

8-(4(4k+1)+7(4-4k))=0

We add all the numbers together, and all the variables

-(4(4k+1)+7(-4k+4))+8=0



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

4(4k+1)+7(-4k+4)

We multiply parentheses

16k-28k+4+28

We add all the numbers together, and all the variables

-12k+32

Back to the equation:

-(-12k+32)



We get rid of parentheses

12k-32+8=0

We add all the numbers together, and all the variables

12k-24=0

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

12k=24

k=24/12

k=2

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