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

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

Simplifying
2(2a + 3b) + 3(3a + -3b) = 0
(2a * 2 + 3b * 2) + 3(3a + -3b) = 0
(4a + 6b) + 3(3a + -3b) = 0
4a + 6b + (3a * 3 + -3b * 3) = 0
4a + 6b + (9a + -9b) = 0

Reorder the terms:
4a + 9a + 6b + -9b = 0

Combine like terms: 4a + 9a = 13a
13a + 6b + -9b = 0

Combine like terms: 6b + -9b = -3b
13a + -3b = 0

Solving
13a + -3b = 0

Solving for variable 'a'.

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

Add '3b' to each side of the equation.
13a + -3b + 3b = 0 + 3b

Combine like terms: -3b + 3b = 0
13a + 0 = 0 + 3b
13a = 0 + 3b
Remove the zero:
13a = 3b

Divide each side by '13'.
a = 0.2307692308b

Simplifying
a = 0.2307692308b