6[12-(6-3a)-2a]=2(-a)

Solution for 6[12-(6-3a)-2a]=2(-a) equation:

Simplifying
6[12 + -1(6 + -3a) + -2a] = 2(-1a)
6[12 + (6 * -1 + -3a * -1) + -2a] = 2(-1a)
6[12 + (-6 + 3a) + -2a] = 2(-1a)

Combine like terms: 12 + -6 = 6
6[6 + 3a + -2a] = 2(-1a)

Combine like terms: 3a + -2a = 1a
6[6 + 1a] = 2(-1a)
[6 * 6 + 1a * 6] = 2(-1a)
[36 + 6a] = 2(-1a)

Remove parenthesis around (-1a)
36 + 6a = 2 * -1a

Multiply 2 * -1
36 + 6a = -2a

Solving
36 + 6a = -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
36 + 6a + 2a = -2a + 2a

Combine like terms: 6a + 2a = 8a
36 + 8a = -2a + 2a

Combine like terms: -2a + 2a = 0
36 + 8a = 0

Add '-36' to each side of the equation.
36 + -36 + 8a = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 8a = 0 + -36
8a = 0 + -36

Combine like terms: 0 + -36 = -36
8a = -36

Divide each side by '8'.
a = -4.5

Simplifying
a = -4.5