(n-2)+(3n+5)-9=2

Solution for (n-2)+(3n+5)-9=2 equation:

Simplifying
(n + -2) + (3n + 5) + -9 = 2

Reorder the terms:
(-2 + n) + (3n + 5) + -9 = 2

Remove parenthesis around (-2 + n)
-2 + n + (3n + 5) + -9 = 2

Reorder the terms:
-2 + n + (5 + 3n) + -9 = 2

Remove parenthesis around (5 + 3n)
-2 + n + 5 + 3n + -9 = 2

Reorder the terms:
-2 + 5 + -9 + n + 3n = 2

Combine like terms: -2 + 5 = 3
3 + -9 + n + 3n = 2

Combine like terms: 3 + -9 = -6
-6 + n + 3n = 2

Combine like terms: n + 3n = 4n
-6 + 4n = 2

Solving
-6 + 4n = 2

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + 4n = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 4n = 2 + 6
4n = 2 + 6

Combine like terms: 2 + 6 = 8
4n = 8

Divide each side by '4'.
n = 2

Simplifying
n = 2