-3n-3(-3n+9)+1=58

Solution for -3n-3(-3n+9)+1=58 equation:

Simplifying
-3n + -3(-3n + 9) + 1 = 58

Reorder the terms:
-3n + -3(9 + -3n) + 1 = 58
-3n + (9 * -3 + -3n * -3) + 1 = 58
-3n + (-27 + 9n) + 1 = 58

Reorder the terms:
-27 + 1 + -3n + 9n = 58

Combine like terms: -27 + 1 = -26
-26 + -3n + 9n = 58

Combine like terms: -3n + 9n = 6n
-26 + 6n = 58

Solving
-26 + 6n = 58

Solving for variable 'n'.

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

Add '26' to each side of the equation.
-26 + 26 + 6n = 58 + 26

Combine like terms: -26 + 26 = 0
0 + 6n = 58 + 26
6n = 58 + 26

Combine like terms: 58 + 26 = 84
6n = 84

Divide each side by '6'.
n = 14

Simplifying
n = 14