7n+6+4n-2=2n+2(4n+6)

Solution for 7n+6+4n-2=2n+2(4n+6) equation:

Simplifying
7n + 6 + 4n + -2 = 2n + 2(4n + 6)

Reorder the terms:
6 + -2 + 7n + 4n = 2n + 2(4n + 6)

Combine like terms: 6 + -2 = 4
4 + 7n + 4n = 2n + 2(4n + 6)

Combine like terms: 7n + 4n = 11n
4 + 11n = 2n + 2(4n + 6)

Reorder the terms:
4 + 11n = 2n + 2(6 + 4n)
4 + 11n = 2n + (6 * 2 + 4n * 2)
4 + 11n = 2n + (12 + 8n)

Reorder the terms:
4 + 11n = 12 + 2n + 8n

Combine like terms: 2n + 8n = 10n
4 + 11n = 12 + 10n

Solving
4 + 11n = 12 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
4 + 11n + -10n = 12 + 10n + -10n

Combine like terms: 11n + -10n = 1n
4 + 1n = 12 + 10n + -10n

Combine like terms: 10n + -10n = 0
4 + 1n = 12 + 0
4 + 1n = 12

Add '-4' to each side of the equation.
4 + -4 + 1n = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 1n = 12 + -4
1n = 12 + -4

Combine like terms: 12 + -4 = 8
1n = 8

Divide each side by '1'.
n = 8

Simplifying
n = 8