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

Solution for 2(a+3b)+3(4a+b)= equation:

Simplifying
2(a + 3b) + 3(4a + b) = 0
(a * 2 + 3b * 2) + 3(4a + b) = 0
(2a + 6b) + 3(4a + b) = 0
2a + 6b + (4a * 3 + b * 3) = 0
2a + 6b + (12a + 3b) = 0

Reorder the terms:
2a + 12a + 6b + 3b = 0

Combine like terms: 2a + 12a = 14a
14a + 6b + 3b = 0

Combine like terms: 6b + 3b = 9b
14a + 9b = 0

Solving
14a + 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.
14a + 9b + -9b = 0 + -9b

Combine like terms: 9b + -9b = 0
14a + 0 = 0 + -9b
14a = 0 + -9b
Remove the zero:
14a = -9b

Divide each side by '14'.
a = -0.6428571429b

Simplifying
a = -0.6428571429b