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

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

Simplifying
6(2a + 1) + -2(2 + -3a) = 0

Reorder the terms:
6(1 + 2a) + -2(2 + -3a) = 0
(1 * 6 + 2a * 6) + -2(2 + -3a) = 0
(6 + 12a) + -2(2 + -3a) = 0
6 + 12a + (2 * -2 + -3a * -2) = 0
6 + 12a + (-4 + 6a) = 0

Reorder the terms:
6 + -4 + 12a + 6a = 0

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

Combine like terms: 12a + 6a = 18a
2 + 18a = 0

Solving
2 + 18a = 0

Solving for variable 'a'.

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

Add '-2' to each side of the equation.
2 + -2 + 18a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 18a = 0 + -2
18a = 0 + -2

Combine like terms: 0 + -2 = -2
18a = -2

Divide each side by '18'.
a = -0.1111111111

Simplifying
a = -0.1111111111