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

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

Simplifying
6a + -2(a + -3) = -12

Reorder the terms:
6a + -2(-3 + a) = -12
6a + (-3 * -2 + a * -2) = -12
6a + (6 + -2a) = -12

Reorder the terms:
6 + 6a + -2a = -12

Combine like terms: 6a + -2a = 4a
6 + 4a = -12

Solving
6 + 4a = -12

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 + 4a = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 4a = -12 + -6
4a = -12 + -6

Combine like terms: -12 + -6 = -18
4a = -18

Divide each side by '4'.
a = -4.5

Simplifying
a = -4.5