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

Solution for 6(1-2a)-3(a+1)=0 equation:

Simplifying
6(1 + -2a) + -3(a + 1) = 0
(1 * 6 + -2a * 6) + -3(a + 1) = 0
(6 + -12a) + -3(a + 1) = 0

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

Reorder the terms:
6 + -3 + -12a + -3a = 0

Combine like terms: 6 + -3 = 3
3 + -12a + -3a = 0

Combine like terms: -12a + -3a = -15a
3 + -15a = 0

Solving
3 + -15a = 0

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + -3 + -15a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -15a = 0 + -3
-15a = 0 + -3

Combine like terms: 0 + -3 = -3
-15a = -3

Divide each side by '-15'.
a = 0.2

Simplifying
a = 0.2