7(5k-5)=8(-7+4k)+6

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Solution for 7(5k-5)=8(-7+4k)+6 equation: 



7(5k-5)=8(-7+4k)+6

We move all terms to the left:

7(5k-5)-(8(-7+4k)+6)=0

We add all the numbers together, and all the variables

7(5k-5)-(8(4k-7)+6)=0

We multiply parentheses

35k-(8(4k-7)+6)-35=0



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

8(4k-7)+6

We multiply parentheses

32k-56+6

We add all the numbers together, and all the variables

32k-50

Back to the equation:

-(32k-50)



We get rid of parentheses

35k-32k+50-35=0

We add all the numbers together, and all the variables

3k+15=0

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

3k=-15

k=-15/3

k=-5

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