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2(5-8k)-13=9(1k)-12
We move all terms to the left:
2(5-8k)-13-(9(1k)-12)=0
We add all the numbers together, and all the variables
2(-8k+5)-(91k-12)-13=0
We multiply parentheses
-16k-(91k-12)+10-13=0
We get rid of parentheses
-16k-91k+12+10-13=0
We add all the numbers together, and all the variables
-107k+9=0
We move all terms containing k to the left, all other terms to the right
-107k=-9
k=-9/-107
k=9/107
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