-117=3(5k+1)

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Solution for -117=3(5k+1) equation:



-117=3(5k+1)
We move all terms to the left:
-117-(3(5k+1))=0
We calculate terms in parentheses: -(3(5k+1)), so:
3(5k+1)
We multiply parentheses
15k+3
Back to the equation:
-(15k+3)
We get rid of parentheses
-15k-3-117=0
We add all the numbers together, and all the variables
-15k-120=0
We move all terms containing k to the left, all other terms to the right
-15k=120
k=120/-15
k=-8

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