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how do you solve 12-1/3n=2

 Oct 6, 2016
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Solve for n:
12-(n)/(3) = 2

Put each term in 12-(n)/(3) over the common denominator 3: 12-(n)/(3) = 36/3-(n)/3:
36/3-n/3 = 2

36/3-n/3 = (36-n)/3:
(36-n)/3 = 2

Multiply both sides of (36-n)/3 = 2 by 3:
(3 (36-n))/3 = 3×2

(3 (36-n))/3 = 3/3×(36-n) = 36-n:
36-n = 3×2

3×2 = 6:
36-n = 6

Subtract 36 from both sides:
(36-36)-n = 6-36

36-36 = 0:
-n = 6-36

6-36 = -30:
-n = -30

Multiply both sides of -n = -30 by -1:
-n/(-1) = 30

(-1)/(-1) = 1:
Answer: |n = 30

 Oct 6, 2016

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