4(a+6)-12=32

Solution for 4(a+6)-12=32 equation:

Simplifying
4(a + 6) + -12 = 32

Reorder the terms:
4(6 + a) + -12 = 32
(6 * 4 + a * 4) + -12 = 32
(24 + 4a) + -12 = 32

Reorder the terms:
24 + -12 + 4a = 32

Combine like terms: 24 + -12 = 12
12 + 4a = 32

Solving
12 + 4a = 32

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 = 32 + -12

Combine like terms: 12 + -12 = 0
0 + 4a = 32 + -12
4a = 32 + -12

Combine like terms: 32 + -12 = 20
4a = 20

Divide each side by '4'.
a = 5

Simplifying
a = 5