Answer: -5/2 or 1/6
Explanation:
I6n + 7I = 8
Therefore (6n + 7) = 8 or -8 because modulus means we're only getting it's absolute value, (it's positive value) meaning it could equal 8 or -8 before it's modulus'ed.
Therefore 6n + 7 = 8
or 6n + 7 = -8
Leaving us with:
6n = 1
6n = -15
So n = 1/6
or n = -5/2 (-2.5)
Answer:
n = 1/6 n = -5/2
|6n+7|=8
This has two solutions, one positive and one negative
6n+7 = 8 and 6n+7 = -8
Subtract 7 from each side
6n+7-7 = 8-7 6n+7-7 =-8-7
6n =1 6n = -15
Divide by 6
6n/6 = 1/6 6n/6 = -15/6
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