9[n+2(n-2)]=45

Solution for 9[n+2(n-2)]=45 equation:

Simplifying
9[n + 2(n + -2)] = 45

Reorder the terms:
9[n + 2(-2 + n)] = 45
9[n + (-2 * 2 + n * 2)] = 45
9[n + (-4 + 2n)] = 45

Reorder the terms:
9[-4 + n + 2n] = 45

Combine like terms: n + 2n = 3n
9[-4 + 3n] = 45
[-4 * 9 + 3n * 9] = 45
[-36 + 27n] = 45

Solving
-36 + 27n = 45

Solving for variable 'n'.

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

Add '36' to each side of the equation.
-36 + 36 + 27n = 45 + 36

Combine like terms: -36 + 36 = 0
0 + 27n = 45 + 36
27n = 45 + 36

Combine like terms: 45 + 36 = 81
27n = 81

Divide each side by '27'.
n = 3

Simplifying
n = 3