2+5k=9(-k-2)+10k

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Solution for 2+5k=9(-k-2)+10k equation: 



2+5k=9(-k-2)+10k

We move all terms to the left:

2+5k-(9(-k-2)+10k)=0

We add all the numbers together, and all the variables

5k-(9(-1k-2)+10k)+2=0



We calculate terms in parentheses: -(9(-1k-2)+10k), so:

9(-1k-2)+10k

We add all the numbers together, and all the variables

10k+9(-1k-2)

We multiply parentheses

10k-9k-18

We add all the numbers together, and all the variables

k-18

Back to the equation:

-(k-18)



We get rid of parentheses

5k-k+18+2=0

We add all the numbers together, and all the variables

4k+20=0

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

4k=-20

k=-20/4

k=-5

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