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

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

Simplifying
2(3a + 4b) + 3(5a + 2b) = 0
(3a * 2 + 4b * 2) + 3(5a + 2b) = 0
(6a + 8b) + 3(5a + 2b) = 0
6a + 8b + (5a * 3 + 2b * 3) = 0
6a + 8b + (15a + 6b) = 0

Reorder the terms:
6a + 15a + 8b + 6b = 0

Combine like terms: 6a + 15a = 21a
21a + 8b + 6b = 0

Combine like terms: 8b + 6b = 14b
21a + 14b = 0

Solving
21a + 14b = 0

Solving for variable 'a'.

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

Add '-14b' to each side of the equation.
21a + 14b + -14b = 0 + -14b

Combine like terms: 14b + -14b = 0
21a + 0 = 0 + -14b
21a = 0 + -14b
Remove the zero:
21a = -14b

Divide each side by '21'.
a = -0.6666666667b

Simplifying
a = -0.6666666667b