(2n-9)=(n+6)

Solution for (2n-9)=(n+6) equation:

Simplifying
(2n + -9) = (n + 6)

Reorder the terms:
(-9 + 2n) = (n + 6)

Remove parenthesis around (-9 + 2n)
-9 + 2n = (n + 6)

Reorder the terms:
-9 + 2n = (6 + n)

Remove parenthesis 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