[2n-9]=[n+6]

Solution for [2n-9]=[n+6] equation:

Simplifying
[2n + -9] = [n + 6]

Reorder the terms:
[-9 + 2n] = [n + 6]

Remove brackets around [-9 + 2n]
-9 + 2n = [n + 6]

Reorder the terms:
-9 + 2n = [6 + n]

Remove brackets around [6 + n]
-9 + 2n = 6 + n

Solving
-9 + 2n = 6 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-9 + 2n + -1n = 6 + n + -1n

Combine like terms: 2n + -1n = 1n
-9 + 1n = 6 + n + -1n

Combine like terms: n + -1n = 0
-9 + 1n = 6 + 0
-9 + 1n = 6

Add '9' to each side of the equation.
-9 + 9 + 1n = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 1n = 6 + 9
1n = 6 + 9

Combine like terms: 6 + 9 = 15
1n = 15

Divide each side by '1'.
n = 15

Simplifying
n = 15