3(3a-2)=0.75(4-24a)

Solution for 3(3a-2)=0.75(4-24a) equation:

Simplifying
3(3a + -2) = 0.75(4 + -24a)

Reorder the terms:
3(-2 + 3a) = 0.75(4 + -24a)
(-2 * 3 + 3a * 3) = 0.75(4 + -24a)
(-6 + 9a) = 0.75(4 + -24a)
-6 + 9a = (4 * 0.75 + -24a * 0.75)
-6 + 9a = (3 + -18a)

Solving
-6 + 9a = 3 + -18a

Solving for variable 'a'.

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

Add '18a' to each side of the equation.
-6 + 9a + 18a = 3 + -18a + 18a

Combine like terms: 9a + 18a = 27a
-6 + 27a = 3 + -18a + 18a

Combine like terms: -18a + 18a = 0
-6 + 27a = 3 + 0
-6 + 27a = 3

Add '6' to each side of the equation.
-6 + 6 + 27a = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 27a = 3 + 6
27a = 3 + 6

Combine like terms: 3 + 6 = 9
27a = 9

Divide each side by '27'.
a = 0.3333333333

Simplifying
a = 0.3333333333