Answer:
n = -1
Explanation:
Solve for n:
1 - 2 n = 3 (n + 2)
Expand out terms of the right-hand side:
1 - 2 n = 3 n + 6
Subtract 3 n from both sides:
1 + (-2 n - 3 n) = (3 n - 3 n) + 6
-2 n - 3 n = -5 n:
-5 n + 1 = (3 n - 3 n) + 6
3 n - 3 n = 0:
1 - 5 n = 6
Subtract 1 from both sides:
(1 - 1) - 5 n = 6 - 1
1 - 1 = 0:
-5 n = 6 - 1
6 - 1 = 5:
-5 n = 5
Divide both sides of -5 n = 5 by -5:
(-5 n)/(-5) = 5/(-5)
(-5)/(-5) = 1:
n = 5/(-5)
The gcd of 5 and -5 is 5, so 5/(-5) = (5×1)/(5 (-1)) = 5/5×1/(-1) = 1/(-1):
n = 1/(-1)
1/(-1) = -1:
Answer: n = -1