.3a+.8(a-12)=33.3

Solution for .3a+.8(a-12)=33.3 equation:

Simplifying
0.3a + 0.8(a + -12) = 33.3

Reorder the terms:
0.3a + 0.8(-12 + a) = 33.3
0.3a + (-12 * 0.8 + a * 0.8) = 33.3
0.3a + (-9.6 + 0.8a) = 33.3

Reorder the terms:
-9.6 + 0.3a + 0.8a = 33.3

Combine like terms: 0.3a + 0.8a = 1.1a
-9.6 + 1.1a = 33.3

Solving
-9.6 + 1.1a = 33.3

Solving for variable 'a'.

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

Add '9.6' to each side of the equation.
-9.6 + 9.6 + 1.1a = 33.3 + 9.6

Combine like terms: -9.6 + 9.6 = 0.0
0.0 + 1.1a = 33.3 + 9.6
1.1a = 33.3 + 9.6

Combine like terms: 33.3 + 9.6 = 42.9
1.1a = 42.9

Divide each side by '1.1'.
a = 39

Simplifying
a = 39