(6a+6)+(-5a-5)=0

Solution for (6a+6)+(-5a-5)=0 equation:

Simplifying
(6a + 6) + (-5a + -5) = 0

Reorder the terms:
(6 + 6a) + (-5a + -5) = 0

Remove parenthesis around (6 + 6a)
6 + 6a + (-5a + -5) = 0

Reorder the terms:
6 + 6a + (-5 + -5a) = 0

Remove parenthesis around (-5 + -5a)
6 + 6a + -5 + -5a = 0

Reorder the terms:
6 + -5 + 6a + -5a = 0

Combine like terms: 6 + -5 = 1
1 + 6a + -5a = 0

Combine like terms: 6a + -5a = 1a
1 + 1a = 0

Solving
1 + 1a = 0

Solving for variable 'a'.

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

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

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

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

Divide each side by '1'.
a = -1

Simplifying
a = -1