-7(2n+1)+1=106

Solution for -7(2n+1)+1=106 equation:

Simplifying
-7(2n + 1) + 1 = 106

Reorder the terms:
-7(1 + 2n) + 1 = 106
(1 * -7 + 2n * -7) + 1 = 106
(-7 + -14n) + 1 = 106

Reorder the terms:
-7 + 1 + -14n = 106

Combine like terms: -7 + 1 = -6
-6 + -14n = 106

Solving
-6 + -14n = 106

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + -14n = 106 + 6

Combine like terms: -6 + 6 = 0
0 + -14n = 106 + 6
-14n = 106 + 6

Combine like terms: 106 + 6 = 112
-14n = 112

Divide each side by '-14'.
n = -8

Simplifying
n = -8