3(a+b)+6(4a+b)=

Solution for 3(a+b)+6(4a+b)= equation:

Simplifying
3(a + b) + 6(4a + b) = 0
(a * 3 + b * 3) + 6(4a + b) = 0
(3a + 3b) + 6(4a + b) = 0
3a + 3b + (4a * 6 + b * 6) = 0
3a + 3b + (24a + 6b) = 0

Reorder the terms:
3a + 24a + 3b + 6b = 0

Combine like terms: 3a + 24a = 27a
27a + 3b + 6b = 0

Combine like terms: 3b + 6b = 9b
27a + 9b = 0

Solving
27a + 9b = 0

Solving for variable 'a'.

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

Add '-9b' to each side of the equation.
27a + 9b + -9b = 0 + -9b

Combine like terms: 9b + -9b = 0
27a + 0 = 0 + -9b
27a = 0 + -9b
Remove the zero:
27a = -9b

Divide each side by '27'.
a = -0.3333333333b

Simplifying
a = -0.3333333333b