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

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

Simplifying
3(a + 3b) + 6(4a + b) = 0
(a * 3 + 3b * 3) + 6(4a + b) = 0
(3a + 9b) + 6(4a + b) = 0
3a + 9b + (4a * 6 + b * 6) = 0
3a + 9b + (24a + 6b) = 0

Reorder the terms:
3a + 24a + 9b + 6b = 0

Combine like terms: 3a + 24a = 27a
27a + 9b + 6b = 0

Combine like terms: 9b + 6b = 15b
27a + 15b = 0

Solving
27a + 15b = 0

Solving for variable 'a'.

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

Add '-15b' to each side of the equation.
27a + 15b + -15b = 0 + -15b

Combine like terms: 15b + -15b = 0
27a + 0 = 0 + -15b
27a = 0 + -15b
Remove the zero:
27a = -15b

Divide each side by '27'.
a = -0.5555555556b

Simplifying
a = -0.5555555556b