6=1-(2n+5)

Solution for 6=1-(2n+5) equation:

Simplifying
6 = 1 + -1(2n + 5)

Reorder the terms:
6 = 1 + -1(5 + 2n)
6 = 1 + (5 * -1 + 2n * -1)
6 = 1 + (-5 + -2n)

Combine like terms: 1 + -5 = -4
6 = -4 + -2n

Solving
6 = -4 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
6 + 2n = -4 + -2n + 2n

Combine like terms: -2n + 2n = 0
6 + 2n = -4 + 0
6 + 2n = -4

Add '-6' to each side of the equation.
6 + -6 + 2n = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 2n = -4 + -6
2n = -4 + -6

Combine like terms: -4 + -6 = -10
2n = -10

Divide each side by '2'.
n = -5

Simplifying
n = -5