2(b+4a)-(b+a)=

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

Simplifying
2(b + 4a) + -1(b + a) = 0

Reorder the terms:
2(4a + b) + -1(b + a) = 0
(4a * 2 + b * 2) + -1(b + a) = 0
(8a + 2b) + -1(b + a) = 0

Reorder the terms:
8a + 2b + -1(a + b) = 0
8a + 2b + (a * -1 + b * -1) = 0
8a + 2b + (-1a + -1b) = 0

Reorder the terms:
8a + -1a + 2b + -1b = 0

Combine like terms: 8a + -1a = 7a
7a + 2b + -1b = 0

Combine like terms: 2b + -1b = 1b
7a + 1b = 0

Solving
7a + 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.
7a + 1b + -1b = 0 + -1b

Combine like terms: 1b + -1b = 0
7a + 0 = 0 + -1b
7a = 0 + -1b
Remove the zero:
7a = -1b

Divide each side by '7'.
a = -0.1428571429b

Simplifying
a = -0.1428571429b