(ab+4a-6)=(ab-6)

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

Simplifying
(ab + 4a + -6) = (ab + -6)

Reorder the terms:
(-6 + 4a + ab) = (ab + -6)

Remove parenthesis around (-6 + 4a + ab)
-6 + 4a + ab = (ab + -6)

Reorder the terms:
-6 + 4a + ab = (-6 + ab)

Remove parenthesis around (-6 + ab)
-6 + 4a + ab = -6 + ab

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

Reorder the terms:
-6 + 6 + 4a + ab = -6 + 6 + ab

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

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

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

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

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

Solving
4a = 0

Solving for variable 'a'.

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

Divide each side by '4'.
a = 0

Simplifying
a = 0