4(a-6)-(a+8)=1

Solution for 4(a-6)-(a+8)=1 equation:

Simplifying
4(a + -6) + -1(a + 8) = 1

Reorder the terms:
4(-6 + a) + -1(a + 8) = 1
(-6 * 4 + a * 4) + -1(a + 8) = 1
(-24 + 4a) + -1(a + 8) = 1

Reorder the terms:
-24 + 4a + -1(8 + a) = 1
-24 + 4a + (8 * -1 + a * -1) = 1
-24 + 4a + (-8 + -1a) = 1

Reorder the terms:
-24 + -8 + 4a + -1a = 1

Combine like terms: -24 + -8 = -32
-32 + 4a + -1a = 1

Combine like terms: 4a + -1a = 3a
-32 + 3a = 1

Solving
-32 + 3a = 1

Solving for variable 'a'.

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

Add '32' to each side of the equation.
-32 + 32 + 3a = 1 + 32

Combine like terms: -32 + 32 = 0
0 + 3a = 1 + 32
3a = 1 + 32

Combine like terms: 1 + 32 = 33
3a = 33

Divide each side by '3'.
a = 11

Simplifying
a = 11