0.5(3a-3)=30

Solution for 0.5(3a-3)=30 equation:

Simplifying
0.5(3a + -3) = 30

Reorder the terms:
0.5(-3 + 3a) = 30
(-3 * 0.5 + 3a * 0.5) = 30
(-1.5 + 1.5a) = 30

Solving
-1.5 + 1.5a = 30

Solving for variable 'a'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 1.5a = 30 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 1.5a = 30 + 1.5
1.5a = 30 + 1.5

Combine like terms: 30 + 1.5 = 31.5
1.5a = 31.5

Divide each side by '1.5'.
a = 21

Simplifying
a = 21