-6(a-1)-3(2-6a)=4a+1+3a+4

Solution for -6(a-1)-3(2-6a)=4a+1+3a+4 equation:

Simplifying
-6(a + -1) + -3(2 + -6a) = 4a + 1 + 3a + 4

Reorder the terms:
-6(-1 + a) + -3(2 + -6a) = 4a + 1 + 3a + 4
(-1 * -6 + a * -6) + -3(2 + -6a) = 4a + 1 + 3a + 4
(6 + -6a) + -3(2 + -6a) = 4a + 1 + 3a + 4
6 + -6a + (2 * -3 + -6a * -3) = 4a + 1 + 3a + 4
6 + -6a + (-6 + 18a) = 4a + 1 + 3a + 4

Reorder the terms:
6 + -6 + -6a + 18a = 4a + 1 + 3a + 4

Combine like terms: 6 + -6 = 0
0 + -6a + 18a = 4a + 1 + 3a + 4
-6a + 18a = 4a + 1 + 3a + 4

Combine like terms: -6a + 18a = 12a
12a = 4a + 1 + 3a + 4

Reorder the terms:
12a = 1 + 4 + 4a + 3a

Combine like terms: 1 + 4 = 5
12a = 5 + 4a + 3a

Combine like terms: 4a + 3a = 7a
12a = 5 + 7a

Solving
12a = 5 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
12a + -7a = 5 + 7a + -7a

Combine like terms: 12a + -7a = 5a
5a = 5 + 7a + -7a

Combine like terms: 7a + -7a = 0
5a = 5 + 0
5a = 5

Divide each side by '5'.
a = 1

Simplifying
a = 1