9(4a-12)+3a=6a+1

Solution for 9(4a-12)+3a=6a+1 equation:

Simplifying
9(4a + -12) + 3a = 6a + 1

Reorder the terms:
9(-12 + 4a) + 3a = 6a + 1
(-12 * 9 + 4a * 9) + 3a = 6a + 1
(-108 + 36a) + 3a = 6a + 1

Combine like terms: 36a + 3a = 39a
-108 + 39a = 6a + 1

Reorder the terms:
-108 + 39a = 1 + 6a

Solving
-108 + 39a = 1 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-108 + 39a + -6a = 1 + 6a + -6a

Combine like terms: 39a + -6a = 33a
-108 + 33a = 1 + 6a + -6a

Combine like terms: 6a + -6a = 0
-108 + 33a = 1 + 0
-108 + 33a = 1

Add '108' to each side of the equation.
-108 + 108 + 33a = 1 + 108

Combine like terms: -108 + 108 = 0
0 + 33a = 1 + 108
33a = 1 + 108

Combine like terms: 1 + 108 = 109
33a = 109

Divide each side by '33'.
a = 3.303030303

Simplifying
a = 3.303030303