-6(2-3a)-3(4-2a)=-72

Solution for -6(2-3a)-3(4-2a)=-72 equation:

Simplifying
-6(2 + -3a) + -3(4 + -2a) = -72
(2 * -6 + -3a * -6) + -3(4 + -2a) = -72
(-12 + 18a) + -3(4 + -2a) = -72
-12 + 18a + (4 * -3 + -2a * -3) = -72
-12 + 18a + (-12 + 6a) = -72

Reorder the terms:
-12 + -12 + 18a + 6a = -72

Combine like terms: -12 + -12 = -24
-24 + 18a + 6a = -72

Combine like terms: 18a + 6a = 24a
-24 + 24a = -72

Solving
-24 + 24a = -72

Solving for variable 'a'.

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

Add '24' to each side of the equation.
-24 + 24 + 24a = -72 + 24

Combine like terms: -24 + 24 = 0
0 + 24a = -72 + 24
24a = -72 + 24

Combine like terms: -72 + 24 = -48
24a = -48

Divide each side by '24'.
a = -2

Simplifying
a = -2