-12(6-a)=8a-8(a-6)

Solution for -12(6-a)=8a-8(a-6) equation:

Simplifying
-12(6 + -1a) = 8a + -8(a + -6)
(6 * -12 + -1a * -12) = 8a + -8(a + -6)
(-72 + 12a) = 8a + -8(a + -6)

Reorder the terms:
-72 + 12a = 8a + -8(-6 + a)
-72 + 12a = 8a + (-6 * -8 + a * -8)
-72 + 12a = 8a + (48 + -8a)

Reorder the terms:
-72 + 12a = 48 + 8a + -8a

Combine like terms: 8a + -8a = 0
-72 + 12a = 48 + 0
-72 + 12a = 48

Solving
-72 + 12a = 48

Solving for variable 'a'.

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

Add '72' to each side of the equation.
-72 + 72 + 12a = 48 + 72

Combine like terms: -72 + 72 = 0
0 + 12a = 48 + 72
12a = 48 + 72

Combine like terms: 48 + 72 = 120
12a = 120

Divide each side by '12'.
a = 10

Simplifying
a = 10