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16k-13k-(-5k)+12k+(-19k)=-19

We move all terms to the left:

16k-13k-(-5k)+12k+(-19k)-(-19)=0

We add all the numbers together, and all the variables

15k-(-5k)+(-19k)+19=0

We get rid of parentheses

15k+5k-19k+19=0

We add all the numbers together, and all the variables

k+19=0

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

k=-19

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