6=2(3-a+8)-2(a+1)

Solution for 6=2(3-a+8)-2(a+1) equation:

Simplifying
6 = 2(3 + -1a + 8) + -2(a + 1)

Reorder the terms:
6 = 2(3 + 8 + -1a) + -2(a + 1)

Combine like terms: 3 + 8 = 11
6 = 2(11 + -1a) + -2(a + 1)
6 = (11 * 2 + -1a * 2) + -2(a + 1)
6 = (22 + -2a) + -2(a + 1)

Reorder the terms:
6 = 22 + -2a + -2(1 + a)
6 = 22 + -2a + (1 * -2 + a * -2)
6 = 22 + -2a + (-2 + -2a)

Reorder the terms:
6 = 22 + -2 + -2a + -2a

Combine like terms: 22 + -2 = 20
6 = 20 + -2a + -2a

Combine like terms: -2a + -2a = -4a
6 = 20 + -4a

Solving
6 = 20 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
6 + 4a = 20 + -4a + 4a

Combine like terms: -4a + 4a = 0
6 + 4a = 20 + 0
6 + 4a = 20

Add '-6' to each side of the equation.
6 + -6 + 4a = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 4a = 20 + -6
4a = 20 + -6

Combine like terms: 20 + -6 = 14
4a = 14

Divide each side by '4'.
a = 3.5

Simplifying
a = 3.5