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

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

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

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

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

Reorder the terms:
-6 + 2a = 4 + -4 + 12a

Combine like terms: 4 + -4 = 0
-6 + 2a = 0 + 12a
-6 + 2a = 12a

Solving
-6 + 2a = 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
-6 + 2a + -12a = 12a + -12a

Combine like terms: 2a + -12a = -10a
-6 + -10a = 12a + -12a

Combine like terms: 12a + -12a = 0
-6 + -10a = 0

Add '6' to each side of the equation.
-6 + 6 + -10a = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -10a = 0 + 6
-10a = 0 + 6

Combine like terms: 0 + 6 = 6
-10a = 6

Divide each side by '-10'.
a = -0.6

Simplifying
a = -0.6