2(n+2)+2n=2(n+1)

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

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

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

Combine like terms: 2n + 2n = 4n
4 + 4n = 2(n + 1)

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

Solving
4 + 4n = 2 + 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.
4 + 4n + -2n = 2 + 2n + -2n

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

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

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

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

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

Divide each side by '2'.
n = -1

Simplifying
n = -1