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

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

Simplifying
-6a + 6(1 + -4a) = -8(1 + 4a)
-6a + (1 * 6 + -4a * 6) = -8(1 + 4a)
-6a + (6 + -24a) = -8(1 + 4a)

Reorder the terms:
6 + -6a + -24a = -8(1 + 4a)

Combine like terms: -6a + -24a = -30a
6 + -30a = -8(1 + 4a)
6 + -30a = (1 * -8 + 4a * -8)
6 + -30a = (-8 + -32a)

Solving
6 + -30a = -8 + -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.
6 + -30a + 32a = -8 + -32a + 32a

Combine like terms: -30a + 32a = 2a
6 + 2a = -8 + -32a + 32a

Combine like terms: -32a + 32a = 0
6 + 2a = -8 + 0
6 + 2a = -8

Add '-6' to each side of the equation.
6 + -6 + 2a = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 2a = -8 + -6
2a = -8 + -6

Combine like terms: -8 + -6 = -14
2a = -14

Divide each side by '2'.
a = -7

Simplifying
a = -7