32(4a-12)+3a=6a+1

Solution for 32(4a-12)+3a=6a+1 equation:

Simplifying
32(4a + -12) + 3a = 6a + 1

Reorder the terms:
32(-12 + 4a) + 3a = 6a + 1
(-12 * 32 + 4a * 32) + 3a = 6a + 1
(-384 + 128a) + 3a = 6a + 1

Combine like terms: 128a + 3a = 131a
-384 + 131a = 6a + 1

Reorder the terms:
-384 + 131a = 1 + 6a

Solving
-384 + 131a = 1 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-384 + 131a + -6a = 1 + 6a + -6a

Combine like terms: 131a + -6a = 125a
-384 + 125a = 1 + 6a + -6a

Combine like terms: 6a + -6a = 0
-384 + 125a = 1 + 0
-384 + 125a = 1

Add '384' to each side of the equation.
-384 + 384 + 125a = 1 + 384

Combine like terms: -384 + 384 = 0
0 + 125a = 1 + 384
125a = 1 + 384

Combine like terms: 1 + 384 = 385
125a = 385

Divide each side by '125'.
a = 3.08

Simplifying
a = 3.08