2(4a-1b)+3(b+5a)=

Solution for 2(4a-1b)+3(b+5a)= equation:

Simplifying
2(4a + -1b) + 3(b + 5a) = 0
(4a * 2 + -1b * 2) + 3(b + 5a) = 0
(8a + -2b) + 3(b + 5a) = 0

Reorder the terms:
8a + -2b + 3(5a + b) = 0
8a + -2b + (5a * 3 + b * 3) = 0
8a + -2b + (15a + 3b) = 0

Reorder the terms:
8a + 15a + -2b + 3b = 0

Combine like terms: 8a + 15a = 23a
23a + -2b + 3b = 0

Combine like terms: -2b + 3b = 1b
23a + 1b = 0

Solving
23a + 1b = 0

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
23a + 1b + -1b = 0 + -1b

Combine like terms: 1b + -1b = 0
23a + 0 = 0 + -1b
23a = 0 + -1b
Remove the zero:
23a = -1b

Divide each side by '23'.
a = -0.04347826087b

Simplifying
a = -0.04347826087b