3(2a+2b)+2(b+a)=

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

Simplifying
3(2a + 2b) + 2(b + a) = 0
(2a * 3 + 2b * 3) + 2(b + a) = 0
(6a + 6b) + 2(b + a) = 0

Reorder the terms:
6a + 6b + 2(a + b) = 0
6a + 6b + (a * 2 + b * 2) = 0
6a + 6b + (2a + 2b) = 0

Reorder the terms:
6a + 2a + 6b + 2b = 0

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

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

Solving
8a + 8b = 0

Solving for variable 'a'.

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

Add '-8b' to each side of the equation.
8a + 8b + -8b = 0 + -8b

Combine like terms: 8b + -8b = 0
8a + 0 = 0 + -8b
8a = 0 + -8b
Remove the zero:
8a = -8b

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

Simplifying
a = -1b