6+2[a-2(a-4)]=

Solution for 6+2[a-2(a-4)]= equation:

Simplifying
6 + 2[a + -2(a + -4)] = 0

Reorder the terms:
6 + 2[a + -2(-4 + a)] = 0
6 + 2[a + (-4 * -2 + a * -2)] = 0
6 + 2[a + (8 + -2a)] = 0

Reorder the terms:
6 + 2[8 + a + -2a] = 0

Combine like terms: a + -2a = -1a
6 + 2[8 + -1a] = 0
6 + [8 * 2 + -1a * 2] = 0
6 + [16 + -2a] = 0

Combine like terms: 6 + 16 = 22
22 + -2a = 0

Solving
22 + -2a = 0

Solving for variable 'a'.

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

Add '-22' to each side of the equation.
22 + -22 + -2a = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -2a = 0 + -22
-2a = 0 + -22

Combine like terms: 0 + -22 = -22
-2a = -22

Divide each side by '-2'.
a = 11

Simplifying
a = 11