2(8k+1)=2(8k-1)-4k

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Solution for 2(8k+1)=2(8k-1)-4k equation: 



2(8k+1)=2(8k-1)-4k

We move all terms to the left:

2(8k+1)-(2(8k-1)-4k)=0

We multiply parentheses

16k-(2(8k-1)-4k)+2=0



We calculate terms in parentheses: -(2(8k-1)-4k), so:

2(8k-1)-4k

We add all the numbers together, and all the variables

-4k+2(8k-1)

We multiply parentheses

-4k+16k-2

We add all the numbers together, and all the variables

12k-2

Back to the equation:

-(12k-2)



We get rid of parentheses

16k-12k+2+2=0

We add all the numbers together, and all the variables

4k+4=0

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

4k=-4

k=-4/4

k=-1

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