3a+6(1-8a)=-3(6+-14)

Solution for 3a+6(1-8a)=-3(6+-14) equation:

Simplifying
3a + 6(1 + -8a) = -3(6 + -14)
3a + (1 * 6 + -8a * 6) = -3(6 + -14)
3a + (6 + -48a) = -3(6 + -14)

Reorder the terms:
6 + 3a + -48a = -3(6 + -14)

Combine like terms: 3a + -48a = -45a
6 + -45a = -3(6 + -14)

Combine like terms: 6 + -14 = -8
6 + -45a = -3(-8)

Multiply -3 * -8
6 + -45a = 24

Solving
6 + -45a = 24

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 + -45a = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -45a = 24 + -6
-45a = 24 + -6

Combine like terms: 24 + -6 = 18
-45a = 18

Divide each side by '-45'.
a = -0.4

Simplifying
a = -0.4