7(k-1)=-k+9

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Solution for 7(k-1)=-k+9 equation: 



7(k-1)=-k+9

We move all terms to the left:

7(k-1)-(-k+9)=0

We add all the numbers together, and all the variables

7(k-1)-(-1k+9)=0

We multiply parentheses

7k-(-1k+9)-7=0

We get rid of parentheses

7k+1k-9-7=0

We add all the numbers together, and all the variables

8k-16=0

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

8k=16

k=16/8

k=2

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