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

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

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

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

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

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

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

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

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

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

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

Simplifying
n = 4