6(1+4a)-6a=-39+3a

Solution for 6(1+4a)-6a=-39+3a equation:

Simplifying
6(1 + 4a) + -6a = -39 + 3a
(1 * 6 + 4a * 6) + -6a = -39 + 3a
(6 + 24a) + -6a = -39 + 3a

Combine like terms: 24a + -6a = 18a
6 + 18a = -39 + 3a

Solving
6 + 18a = -39 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
6 + 18a + -3a = -39 + 3a + -3a

Combine like terms: 18a + -3a = 15a
6 + 15a = -39 + 3a + -3a

Combine like terms: 3a + -3a = 0
6 + 15a = -39 + 0
6 + 15a = -39

Add '-6' to each side of the equation.
6 + -6 + 15a = -39 + -6

Combine like terms: 6 + -6 = 0
0 + 15a = -39 + -6
15a = -39 + -6

Combine like terms: -39 + -6 = -45
15a = -45

Divide each side by '15'.
a = -3

Simplifying
a = -3