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15=1+14k

We move all terms to the left:

15-(1+14k)=0

We add all the numbers together, and all the variables

-(14k+1)+15=0

We get rid of parentheses

-14k-1+15=0

We add all the numbers together, and all the variables

-14k+14=0

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

-14k=-14

k=-14/-14

k=1

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