4a+2(4a-3)=-78

Solution for 4a+2(4a-3)=-78 equation:

Simplifying
4a + 2(4a + -3) = -78

Reorder the terms:
4a + 2(-3 + 4a) = -78
4a + (-3 * 2 + 4a * 2) = -78
4a + (-6 + 8a) = -78

Reorder the terms:
-6 + 4a + 8a = -78

Combine like terms: 4a + 8a = 12a
-6 + 12a = -78

Solving
-6 + 12a = -78

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 + 12a = -78 + 6

Combine like terms: -6 + 6 = 0
0 + 12a = -78 + 6
12a = -78 + 6

Combine like terms: -78 + 6 = -72
12a = -72

Divide each side by '12'.
a = -6

Simplifying
a = -6