[5-n-6]3=75

Solution for [5-n-6]3=75 equation:

Simplifying
[5 + -1n + -6] * 3 = 75

Reorder the terms:
[5 + -6 + -1n] * 3 = 75

Combine like terms: 5 + -6 = -1
[-1 + -1n] * 3 = 75

Reorder the terms for easier multiplication:
3[-1 + -1n] = 75
[-1 * 3 + -1n * 3] = 75
[-3 + -3n] = 75

Solving
-3 + -3n = 75

Solving for variable 'n'.

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

Add '3' to each side of the equation.
-3 + 3 + -3n = 75 + 3

Combine like terms: -3 + 3 = 0
0 + -3n = 75 + 3
-3n = 75 + 3

Combine like terms: 75 + 3 = 78
-3n = 78

Divide each side by '-3'.
n = -26

Simplifying
n = -26