-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