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

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

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

Reorder the terms:
3a + 3b + 3(a + b) = 0
3a + 3b + (a * 3 + b * 3) = 0
3a + 3b + (3a + 3b) = 0

Reorder the terms:
3a + 3a + 3b + 3b = 0

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

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

Solving
6a + 6b = 0

Solving for variable 'a'.

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

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

Combine like terms: 6b + -6b = 0
6a + 0 = 0 + -6b
6a = 0 + -6b
Remove the zero:
6a = -6b

Divide each side by '6'.
a = -1b

Simplifying
a = -1b