-6(a+8)+6(1-8)=-78

Solution for -6(a+8)+6(1-8)=-78 equation:

Simplifying
-6(a + 8) + 6(1 + -8) = -78

Reorder the terms:
-6(8 + a) + 6(1 + -8) = -78
(8 * -6 + a * -6) + 6(1 + -8) = -78
(-48 + -6a) + 6(1 + -8) = -78

Combine like terms: 1 + -8 = -7
-48 + -6a + 6(-7) = -78

Multiply 6 * -7
-48 + -6a + -42 = -78

Reorder the terms:
-48 + -42 + -6a = -78

Combine like terms: -48 + -42 = -90
-90 + -6a = -78

Solving
-90 + -6a = -78

Solving for variable 'a'.

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

Add '90' to each side of the equation.
-90 + 90 + -6a = -78 + 90

Combine like terms: -90 + 90 = 0
0 + -6a = -78 + 90
-6a = -78 + 90

Combine like terms: -78 + 90 = 12
-6a = 12

Divide each side by '-6'.
a = -2

Simplifying
a = -2