7(3a+b)+2(2a+3b)=

Solution for 7(3a+b)+2(2a+3b)= equation:

Simplifying
7(3a + b) + 2(2a + 3b) = 0
(3a * 7 + b * 7) + 2(2a + 3b) = 0
(21a + 7b) + 2(2a + 3b) = 0
21a + 7b + (2a * 2 + 3b * 2) = 0
21a + 7b + (4a + 6b) = 0

Reorder the terms:
21a + 4a + 7b + 6b = 0

Combine like terms: 21a + 4a = 25a
25a + 7b + 6b = 0

Combine like terms: 7b + 6b = 13b
25a + 13b = 0

Solving
25a + 13b = 0

Solving for variable 'a'.

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

Add '-13b' to each side of the equation.
25a + 13b + -13b = 0 + -13b

Combine like terms: 13b + -13b = 0
25a + 0 = 0 + -13b
25a = 0 + -13b
Remove the zero:
25a = -13b

Divide each side by '25'.
a = -0.52b

Simplifying
a = -0.52b