0.75(12a+8)=34.8

Solution for 0.75(12a+8)=34.8 equation:

Simplifying
0.75(12a + 8) = 34.8

Reorder the terms:
0.75(8 + 12a) = 34.8
(8 * 0.75 + 12a * 0.75) = 34.8
(6 + 9a) = 34.8

Solving
6 + 9a = 34.8

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + 9a = 34.8 + -6

Combine like terms: 6 + -6 = 0
0 + 9a = 34.8 + -6
9a = 34.8 + -6

Combine like terms: 34.8 + -6 = 28.8
9a = 28.8

Divide each side by '9'.
a = 3.2

Simplifying
a = 3.2