(ab+a+b+6)-(8ab+a-b-6)=

Solution for (ab+a+b+6)-(8ab+a-b-6)= equation:

Simplifying
(ab + a + b + 6) + -1(8ab + a + -1b + -6) = 0

Reorder the terms:
(6 + a + ab + b) + -1(8ab + a + -1b + -6) = 0

Remove parenthesis around (6 + a + ab + b)
6 + a + ab + b + -1(8ab + a + -1b + -6) = 0

Reorder the terms:
6 + a + ab + b + -1(-6 + a + 8ab + -1b) = 0
6 + a + ab + b + (-6 * -1 + a * -1 + 8ab * -1 + -1b * -1) = 0
6 + a + ab + b + (6 + -1a + -8ab + 1b) = 0

Reorder the terms:
6 + 6 + a + -1a + ab + -8ab + b + 1b = 0

Combine like terms: 6 + 6 = 12
12 + a + -1a + ab + -8ab + b + 1b = 0

Combine like terms: a + -1a = 0
12 + 0 + ab + -8ab + b + 1b = 0
12 + ab + -8ab + b + 1b = 0

Combine like terms: ab + -8ab = -7ab
12 + -7ab + b + 1b = 0

Combine like terms: b + 1b = 2b
12 + -7ab + 2b = 0

Solving
12 + -7ab + 2b = 0

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 + -7ab + -12 + 2b = 0 + -12

Reorder the terms:
12 + -12 + -7ab + 2b = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -7ab + 2b = 0 + -12
-7ab + 2b = 0 + -12

Combine like terms: 0 + -12 = -12
-7ab + 2b = -12

Add '-2b' to each side of the equation.
-7ab + 2b + -2b = -12 + -2b

Combine like terms: 2b + -2b = 0
-7ab + 0 = -12 + -2b
-7ab = -12 + -2b

Divide each side by '-7b'.
a = 1.714285714b-1 + 0.2857142857

Simplifying
a = 1.714285714b-1 + 0.2857142857

Reorder the terms:
a = 0.2857142857 + 1.714285714b-1