What is the value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1)? n =
2 answers:
[|] Answer [|]
[|] Explanation [|]
(2n + 4) + 6 = -9 + 4(2n + 1)
N = ?
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Expand: - (2n + 4) + 6: -2n + 2
- (2n + 4) -2n - 4
= -2n - 4 + 6
Add / Subtract Numbers: -4 + 6 = 2
= -2n + 2
Expand: -9 + 4(2n + 1): 8n - 5
-9 + 4 (2n = 1)
Expand: 4(2n + 1): 8n + 4
= -9 + 8n + 4
Add / Subtract Numbers: -9 + 5 = -5
= 8n - 5
_________________
-2n + 2 = 8n - 5
Subtract 2 From Both Sides:
-2n + 2 - 2 = 8n - 5 - 2
Simplify:
-2n = 8n - 7
Subtract 8n From Both Sides:
-2n - 8n = 8n - 7 - 8n
Simplify:
-10 = -7
Divide Both Sides By -10:
-10/-10 = -7/-10
Simplify:
N = 7/10
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