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Mathematics
Danica Wood
26 September, 18:26
What is n
-8+4 (1+5n) = -6n-14
+4
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1
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Dixie Downs
26 September, 21:05
0
n = (-5) / 13
Step-by-step explanation:
Solve for n:
4 (5 n + 1) - 8 = - 6 n - 14
4 (5 n + 1) = 20 n + 4:
20 n + 4 - 8 = - 6 n - 14
Add like terms. 4 - 8 = - 4:
20 n - 4 = - 6 n - 14
Add 6 n to both sides:
20 n + 6 n - 4 = (6 n - 6 n) - 14
6 n - 6 n = 0:
20 n + 6 n - 4 = - 14
20 n + 6 n = 26 n:
26 n - 4 = - 14
Add 4 to both sides:
26 n + (4 - 4) = 4 - 14
4 - 4 = 0:
26 n = 4 - 14
4 - 14 = - 10:
26 n = - 10
Divide both sides of 26 n = - 10 by 26:
(26 n) / 26 = (-10) / 26
26/26 = 1:
n = (-10) / 26
The gcd of - 10 and 26 is 2, so (-10) / 26 = (2 (-5)) / (2*13) = 2/2 * (-5) / 13 = (-5) / 13:
Answer: n = (-5) / 13
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