(ab+a+b+6)+(3ab-b+c-6)=

Solution for (ab+a+b+6)+(3ab-b+c-6)= equation:

Simplifying
(ab + a + b + 6) + (3ab + -1b + c + -6) = 0

Reorder the terms:
(6 + a + ab + b) + (3ab + -1b + c + -6) = 0

Remove parenthesis around (6 + a + ab + b)
6 + a + ab + b + (3ab + -1b + c + -6) = 0

Reorder the terms:
6 + a + ab + b + (-6 + 3ab + -1b + c) = 0

Remove parenthesis around (-6 + 3ab + -1b + c)
6 + a + ab + b + -6 + 3ab + -1b + c = 0

Reorder the terms:
6 + -6 + a + ab + 3ab + b + -1b + c = 0

Combine like terms: 6 + -6 = 0
0 + a + ab + 3ab + b + -1b + c = 0
a + ab + 3ab + b + -1b + c = 0

Combine like terms: ab + 3ab = 4ab
a + 4ab + b + -1b + c = 0

Combine like terms: b + -1b = 0
a + 4ab + 0 + c = 0
a + 4ab + c = 0

Solving
a + 4ab + c = 0

Solving for variable 'a'.

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

Add '-1c' to each side of the equation.
a + 4ab + c + -1c = 0 + -1c

Combine like terms: c + -1c = 0
a + 4ab + 0 = 0 + -1c
a + 4ab = 0 + -1c
Remove the zero:
a + 4ab = -1c

Combine like terms: -1c + c = 0
a + 4ab + c = 0

The solution to this equation could not be determined.