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

Multiply 2 * 3
7n + 6(1 + -1n) + -2(1 + n) = 14
7n + (1 * 6 + -1n * 6) + -2(1 + n) = 14
7n + (6 + -6n) + -2(1 + n) = 14
7n + 6 + -6n + (1 * -2 + n * -2) = 14
7n + 6 + -6n + (-2 + -2n) = 14

Reorder the terms:
6 + -2 + 7n + -6n + -2n = 14

Combine like terms: 6 + -2 = 4
4 + 7n + -6n + -2n = 14

Combine like terms: 7n + -6n = 1n
4 + 1n + -2n = 14

Combine like terms: 1n + -2n = -1n
4 + -1n = 14

Solving
4 + -1n = 14

Solving for variable 'n'.

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

Add '-4' to each side of the equation.
4 + -4 + -1n = 14 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = 14 + -4
-1n = 14 + -4

Combine like terms: 14 + -4 = 10
-1n = 10

Divide each side by '-1'.
n = -10

Simplifying
n = -10