-171=-3(8n+1)

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Solution for -171=-3(8n+1) equation: 



-171=-3(8n+1)

We move all terms to the left:

-171-(-3(8n+1))=0



We calculate terms in parentheses: -(-3(8n+1)), so:

-3(8n+1)

We multiply parentheses

-24n-3

Back to the equation:

-(-24n-3)



We get rid of parentheses

24n+3-171=0

We add all the numbers together, and all the variables

24n-168=0

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

24n=168

n=168/24

n=7

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