2(2+2n)=3(n+1)

Solution for 2(2+2n)=3(n+1) equation:

Simplifying
2(2 + 2n) = 3(n + 1)
(2 * 2 + 2n * 2) = 3(n + 1)
(4 + 4n) = 3(n + 1)

Reorder the terms:
4 + 4n = 3(1 + n)
4 + 4n = (1 * 3 + n * 3)
4 + 4n = (3 + 3n)

Solving
4 + 4n = 3 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
4 + 4n + -3n = 3 + 3n + -3n

Combine like terms: 4n + -3n = 1n
4 + 1n = 3 + 3n + -3n

Combine like terms: 3n + -3n = 0
4 + 1n = 3 + 0
4 + 1n = 3

Add '-4' to each side of the equation.
4 + -4 + 1n = 3 + -4

Combine like terms: 4 + -4 = 0
0 + 1n = 3 + -4
1n = 3 + -4

Combine like terms: 3 + -4 = -1
1n = -1

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

Simplifying
n = -1