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

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

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

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

Reorder the terms:
2 + 2n = -6 + -2n

Solving
2 + 2n = -6 + -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.
2 + 2n + 2n = -6 + -2n + 2n

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

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

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

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

Combine like terms: -6 + -2 = -8
4n = -8

Divide each side by '4'.
n = -2

Simplifying
n = -2