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-8(6n-1)=8+2n n=0 how do they get zero out of this how do they set this up

 Jan 15, 2016
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Solve for n:
-8 (6 n-1) = 2 n+8

Subtract 2 n+8 from both sides of -8 (6 n-1) = 2 n+8:
-8 (6 n-1)-2 n+8 = (2 n+8)-2 n+8

(2 n+8)-(2 n+8) = 0:
-8 (6 n-1)-(2 n+8) = 0

-8 (6 n-1) = -(-8)-8×6 n:
-(-8)-8×6 n-(2 n+8) = 0

-8 (-1)  =  8:
8-8×6 n-(2 n+8) = 0

-8×6  =  -48:
8+-48 n-(2 n+8) = 0

-(2 n+8) = -8-2 n:
8-48 n+-8-2 n = 0

Grouping like terms, 8-48 n-8-2 n = (8-8)+(-48 n-2 n):
(8-8)+(-48 n-2 n) = 0

-48 n-2 n = -50 n:
-50 n+(8-8) = 0

8-8 = 0:
-50 n = 0

Divide both sides of -50 n = 0 by -50:
(-50 n)/(-50) = 0/(-50)

(-50)/(-50) = 1:
n = 0/(-50)

0/(-50) = 0:
Answer: | n = 0

 Jan 15, 2016

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