-81=2(1+6n)+1

Solution for -81=2(1+6n)+1 equation:

Simplifying
-81 = 2(1 + 6n) + 1
-81 = (1 * 2 + 6n * 2) + 1
-81 = (2 + 12n) + 1

Reorder the terms:
-81 = 2 + 1 + 12n

Combine like terms: 2 + 1 = 3
-81 = 3 + 12n

Solving
-81 = 3 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
-81 + -12n = 3 + 12n + -12n

Combine like terms: 12n + -12n = 0
-81 + -12n = 3 + 0
-81 + -12n = 3

Add '81' to each side of the equation.
-81 + 81 + -12n = 3 + 81

Combine like terms: -81 + 81 = 0
0 + -12n = 3 + 81
-12n = 3 + 81

Combine like terms: 3 + 81 = 84
-12n = 84

Divide each side by '-12'.
n = -7

Simplifying
n = -7