6n+6-2n=2(n+4)

Solution for 6n+6-2n=2(n+4) equation:

Simplifying
6n + 6 + -2n = 2(n + 4)

Reorder the terms:
6 + 6n + -2n = 2(n + 4)

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

Reorder the terms:
6 + 4n = 2(4 + n)
6 + 4n = (4 * 2 + n * 2)
6 + 4n = (8 + 2n)

Solving
6 + 4n = 8 + 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.
6 + 4n + -2n = 8 + 2n + -2n

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

Combine like terms: 2n + -2n = 0
6 + 2n = 8 + 0
6 + 2n = 8

Add '-6' to each side of the equation.
6 + -6 + 2n = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 2n = 8 + -6
2n = 8 + -6

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

Divide each side by '2'.
n = 1

Simplifying
n = 1