(6a-2)+(3a+8)=

Solution for (6a-2)+(3a+8)= equation:

Simplifying
(6a + -2) + (3a + 8) = 0

Reorder the terms:
(-2 + 6a) + (3a + 8) = 0

Remove parenthesis around (-2 + 6a)
-2 + 6a + (3a + 8) = 0

Reorder the terms:
-2 + 6a + (8 + 3a) = 0

Remove parenthesis around (8 + 3a)
-2 + 6a + 8 + 3a = 0

Reorder the terms:
-2 + 8 + 6a + 3a = 0

Combine like terms: -2 + 8 = 6
6 + 6a + 3a = 0

Combine like terms: 6a + 3a = 9a
6 + 9a = 0

Solving
6 + 9a = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + 9a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 9a = 0 + -6
9a = 0 + -6

Combine like terms: 0 + -6 = -6
9a = -6

Divide each side by '9'.
a = -0.6666666667

Simplifying
a = -0.6666666667