Answer:
n = 4
Explanation:
simplify left side first:
(1/2) (-4 + 6n) = -2 + 3n.
now simplify right side:
(1/3)n + (2/3) (n + 9) = (1/3)n + (2/3)n + (2/3) (9) = (3/3)n + 6 = n + 6.
so, we now have -2 + 3n = n + 6.
subtract n from both sides and add 2 to both sides
-2 + 3n - n + 2 = n + 6 - n + 2
2n = 8
n = 4