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

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

Simplifying
2(a + 3) + 3(2a) = -2

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

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

Multiply 3 * 2
6 + 2a + 6a = -2

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

Solving
6 + 8a = -2

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 + 8a = -2 + -6

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

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

Divide each side by '8'.
a = -1

Simplifying
a = -1