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

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

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

Reorder the terms:
3a + 6b + 4(5a + b) = 0
3a + 6b + (5a * 4 + b * 4) = 0
3a + 6b + (20a + 4b) = 0

Reorder the terms:
3a + 20a + 6b + 4b = 0

Combine like terms: 3a + 20a = 23a
23a + 6b + 4b = 0

Combine like terms: 6b + 4b = 10b
23a + 10b = 0

Solving
23a + 10b = 0

Solving for variable 'a'.

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

Add '-10b' to each side of the equation.
23a + 10b + -10b = 0 + -10b

Combine like terms: 10b + -10b = 0
23a + 0 = 0 + -10b
23a = 0 + -10b
Remove the zero:
23a = -10b

Divide each side by '23'.
a = -0.4347826087b

Simplifying
a = -0.4347826087b