2(3a+6b)+3(4a+5b)=

Solution for 2(3a+6b)+3(4a+5b)= equation:

Simplifying
2(3a + 6b) + 3(4a + 5b) = 0
(3a * 2 + 6b * 2) + 3(4a + 5b) = 0
(6a + 12b) + 3(4a + 5b) = 0
6a + 12b + (4a * 3 + 5b * 3) = 0
6a + 12b + (12a + 15b) = 0

Reorder the terms:
6a + 12a + 12b + 15b = 0

Combine like terms: 6a + 12a = 18a
18a + 12b + 15b = 0

Combine like terms: 12b + 15b = 27b
18a + 27b = 0

Solving
18a + 27b = 0

Solving for variable 'a'.

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

Add '-27b' to each side of the equation.
18a + 27b + -27b = 0 + -27b

Combine like terms: 27b + -27b = 0
18a + 0 = 0 + -27b
18a = 0 + -27b
Remove the zero:
18a = -27b

Divide each side by '18'.
a = -1.5b

Simplifying
a = -1.5b