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

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

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

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

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

Solving
6 + -2a = -14

Solving for variable 'a'.

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

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

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

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

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

Simplifying
a = 10