.25(16a-12)+15=33

Solution for .25(16a-12)+15=33 equation:

Simplifying
0.25(16a + -12) + 15 = 33

Reorder the terms:
0.25(-12 + 16a) + 15 = 33
(-12 * 0.25 + 16a * 0.25) + 15 = 33
(-3 + 4a) + 15 = 33

Reorder the terms:
-3 + 15 + 4a = 33

Combine like terms: -3 + 15 = 12
12 + 4a = 33

Solving
12 + 4a = 33

Solving for variable 'a'.

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

Add '-12' to each side of the equation.
12 + -12 + 4a = 33 + -12

Combine like terms: 12 + -12 = 0
0 + 4a = 33 + -12
4a = 33 + -12

Combine like terms: 33 + -12 = 21
4a = 21

Divide each side by '4'.
a = 5.25

Simplifying
a = 5.25