(a+6b)-(a-6b)=0

Solution for (a+6b)-(a-6b)=0 equation:

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

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

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

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

Combine like terms: 6b + 6b = 12b
12b = 0

Solving
12b = 0

Solving for variable 'b'.

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

Divide each side by '12'.
b = 0

Simplifying
b = 0