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

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

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

Reorder the terms:
2(2 + 2n) + -2(-1n + -1) = 1 + -5n + 6n + -5
(2 * 2 + 2n * 2) + -2(-1n + -1) = 1 + -5n + 6n + -5
(4 + 4n) + -2(-1n + -1) = 1 + -5n + 6n + -5

Reorder the terms:
4 + 4n + -2(-1 + -1n) = 1 + -5n + 6n + -5
4 + 4n + (-1 * -2 + -1n * -2) = 1 + -5n + 6n + -5
4 + 4n + (2 + 2n) = 1 + -5n + 6n + -5

Reorder the terms:
4 + 2 + 4n + 2n = 1 + -5n + 6n + -5

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

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

Reorder the terms:
6 + 6n = 1 + -5 + -5n + 6n

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

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

Solving
6 + 6n = -4 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
6 + 6n + -1n = -4 + 1n + -1n

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

Combine like terms: 1n + -1n = 0
6 + 5n = -4 + 0
6 + 5n = -4

Add '-6' to each side of the equation.
6 + -6 + 5n = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 5n = -4 + -6
5n = -4 + -6

Combine like terms: -4 + -6 = -10
5n = -10

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

Simplifying
n = -2