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

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

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

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

Reorder the terms:
18 + 3a + -2(-6 + a) + 4 = 3 + -4(1 + -1a)
18 + 3a + (-6 * -2 + a * -2) + 4 = 3 + -4(1 + -1a)
18 + 3a + (12 + -2a) + 4 = 3 + -4(1 + -1a)

Reorder the terms:
18 + 12 + 4 + 3a + -2a = 3 + -4(1 + -1a)

Combine like terms: 18 + 12 = 30
30 + 4 + 3a + -2a = 3 + -4(1 + -1a)

Combine like terms: 30 + 4 = 34
34 + 3a + -2a = 3 + -4(1 + -1a)

Combine like terms: 3a + -2a = 1a
34 + 1a = 3 + -4(1 + -1a)
34 + 1a = 3 + (1 * -4 + -1a * -4)
34 + 1a = 3 + (-4 + 4a)

Combine like terms: 3 + -4 = -1
34 + 1a = -1 + 4a

Solving
34 + 1a = -1 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
34 + 1a + -4a = -1 + 4a + -4a

Combine like terms: 1a + -4a = -3a
34 + -3a = -1 + 4a + -4a

Combine like terms: 4a + -4a = 0
34 + -3a = -1 + 0
34 + -3a = -1

Add '-34' to each side of the equation.
34 + -34 + -3a = -1 + -34

Combine like terms: 34 + -34 = 0
0 + -3a = -1 + -34
-3a = -1 + -34

Combine like terms: -1 + -34 = -35
-3a = -35

Divide each side by '-3'.
a = 11.66666667

Simplifying
a = 11.66666667