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

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

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

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

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

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

Solving
4a = 2

Solving for variable 'a'.

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

Divide each side by '4'.
a = 0.5

Simplifying
a = 0.5