-4n+2(3+n)=-14

Solution for -4n+2(3+n)=-14 equation:

Simplifying
-4n + 2(3 + n) = -14
-4n + (3 * 2 + n * 2) = -14
-4n + (6 + 2n) = -14

Reorder the terms:
6 + -4n + 2n = -14

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

Solving
6 + -2n = -14

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + -2n = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -2n = -14 + -6
-2n = -14 + -6

Combine like terms: -14 + -6 = -20
-2n = -20

Divide each side by '-2'.
n = 10

Simplifying
n = 10