-6=9k+3(-4k+7)+15

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Solution for -6=9k+3(-4k+7)+15 equation: 



-6=9k+3(-4k+7)+15

We move all terms to the left:

-6-(9k+3(-4k+7)+15)=0



We calculate terms in parentheses: -(9k+3(-4k+7)+15), so:

9k+3(-4k+7)+15

We multiply parentheses

9k-12k+21+15

We add all the numbers together, and all the variables

-3k+36

Back to the equation:

-(-3k+36)



We get rid of parentheses

3k-36-6=0

We add all the numbers together, and all the variables

3k-42=0

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

3k=42

k=42/3

k=14

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