7n+2(3(1-n)-2(1+n))=14

Solution for 7n+2(3(1-n)-2(1+n))=14 equation:

Simplifying
7n + 2(3(1 + -1n) + -2(1 + n)) = 14
7n + 2((1 * 3 + -1n * 3) + -2(1 + n)) = 14
7n + 2((3 + -3n) + -2(1 + n)) = 14
7n + 2(3 + -3n + (1 * -2 + n * -2)) = 14
7n + 2(3 + -3n + (-2 + -2n)) = 14

Reorder the terms:
7n + 2(3 + -2 + -3n + -2n) = 14

Combine like terms: 3 + -2 = 1
7n + 2(1 + -3n + -2n) = 14

Combine like terms: -3n + -2n = -5n
7n + 2(1 + -5n) = 14
7n + (1 * 2 + -5n * 2) = 14
7n + (2 + -10n) = 14

Reorder the terms:
2 + 7n + -10n = 14

Combine like terms: 7n + -10n = -3n
2 + -3n = 14

Solving
2 + -3n = 14

Solving for variable 'n'.

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

Add '-2' to each side of the equation.
2 + -2 + -3n = 14 + -2

Combine like terms: 2 + -2 = 0
0 + -3n = 14 + -2
-3n = 14 + -2

Combine like terms: 14 + -2 = 12
-3n = 12

Divide each side by '-3'.
n = -4

Simplifying
n = -4