111=1-2(1+8n)

Solution for 111=1-2(1+8n) equation:

Simplifying
111 = 1 + -2(1 + 8n)
111 = 1 + (1 * -2 + 8n * -2)
111 = 1 + (-2 + -16n)

Combine like terms: 1 + -2 = -1
111 = -1 + -16n

Solving
111 = -1 + -16n

Solving for variable 'n'.

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

Add '16n' to each side of the equation.
111 + 16n = -1 + -16n + 16n

Combine like terms: -16n + 16n = 0
111 + 16n = -1 + 0
111 + 16n = -1

Add '-111' to each side of the equation.
111 + -111 + 16n = -1 + -111

Combine like terms: 111 + -111 = 0
0 + 16n = -1 + -111
16n = -1 + -111

Combine like terms: -1 + -111 = -112
16n = -112

Divide each side by '16'.
n = -7

Simplifying
n = -7