7k-40=8(1+4k)-k

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Solution for 7k-40=8(1+4k)-k equation: 



7k-40=8(1+4k)-k

We move all terms to the left:

7k-40-(8(1+4k)-k)=0

We add all the numbers together, and all the variables

7k-(8(4k+1)-k)-40=0



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

8(4k+1)-k

We add all the numbers together, and all the variables

-1k+8(4k+1)

We multiply parentheses

-1k+32k+8

We add all the numbers together, and all the variables

31k+8

Back to the equation:

-(31k+8)



We get rid of parentheses

7k-31k-8-40=0

We add all the numbers together, and all the variables

-24k-48=0

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

-24k=48

k=48/-24

k=-2

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