(a^2b^2+7ab)+(6ab-a^2b^2)=c

Solution for (a^2b^2+7ab)+(6ab-a^2b^2)=c equation:

Simplifying
(a2b2 + 7ab) + (6ab + -1a2b2) = c

Reorder the terms:
(7ab + a2b2) + (6ab + -1a2b2) = c

Remove parenthesis around (7ab + a2b2)
7ab + a2b2 + (6ab + -1a2b2) = c

Remove parenthesis around (6ab + -1a2b2)
7ab + a2b2 + 6ab + -1a2b2 = c

Reorder the terms:
7ab + 6ab + a2b2 + -1a2b2 = c

Combine like terms: 7ab + 6ab = 13ab
13ab + a2b2 + -1a2b2 = c

Combine like terms: a2b2 + -1a2b2 = 0
13ab + 0 = c
13ab = c

Solving
13ab = c

Solving for variable 'a'.

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

Divide each side by '13b'.
a = 0.07692307692b-1c

Simplifying
a = 0.07692307692b-1c