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-4(7-6k)=15

We move all terms to the left:

-4(7-6k)-(15)=0

We add all the numbers together, and all the variables

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

We multiply parentheses

24k-28-15=0

We add all the numbers together, and all the variables

24k-43=0

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

24k=43

k=43/24

k=1+19/24

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