2(7a+6)6=-6(1-4a)+8a

Solution for 2(7a+6)6=-6(1-4a)+8a equation:

Simplifying
2(7a + 6) * 6 = -6(1 + -4a) + 8a

Reorder the terms:
2(6 + 7a) * 6 = -6(1 + -4a) + 8a

Reorder the terms for easier multiplication:
2 * 6(6 + 7a) = -6(1 + -4a) + 8a

Multiply 2 * 6
12(6 + 7a) = -6(1 + -4a) + 8a
(6 * 12 + 7a * 12) = -6(1 + -4a) + 8a
(72 + 84a) = -6(1 + -4a) + 8a
72 + 84a = (1 * -6 + -4a * -6) + 8a
72 + 84a = (-6 + 24a) + 8a

Combine like terms: 24a + 8a = 32a
72 + 84a = -6 + 32a

Solving
72 + 84a = -6 + 32a

Solving for variable 'a'.

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

Add '-32a' to each side of the equation.
72 + 84a + -32a = -6 + 32a + -32a

Combine like terms: 84a + -32a = 52a
72 + 52a = -6 + 32a + -32a

Combine like terms: 32a + -32a = 0
72 + 52a = -6 + 0
72 + 52a = -6

Add '-72' to each side of the equation.
72 + -72 + 52a = -6 + -72

Combine like terms: 72 + -72 = 0
0 + 52a = -6 + -72
52a = -6 + -72

Combine like terms: -6 + -72 = -78
52a = -78

Divide each side by '52'.
a = -1.5

Simplifying
a = -1.5