=2(4a-b)-(b-6a)-(a-b)

Solution for =2(4a-b)-(b-6a)-(a-b) equation:

Simplifying
0 = 2(4a + -1b) + -1(b + -6a) + -1(a + -1b)
0 = (4a * 2 + -1b * 2) + -1(b + -6a) + -1(a + -1b)
0 = (8a + -2b) + -1(b + -6a) + -1(a + -1b)

Reorder the terms:
0 = 8a + -2b + -1(-6a + b) + -1(a + -1b)
0 = 8a + -2b + (-6a * -1 + b * -1) + -1(a + -1b)
0 = 8a + -2b + (6a + -1b) + -1(a + -1b)
0 = 8a + -2b + 6a + -1b + (a * -1 + -1b * -1)
0 = 8a + -2b + 6a + -1b + (-1a + 1b)

Reorder the terms:
0 = 8a + 6a + -1a + -2b + -1b + 1b

Combine like terms: 8a + 6a = 14a
0 = 14a + -1a + -2b + -1b + 1b

Combine like terms: 14a + -1a = 13a
0 = 13a + -2b + -1b + 1b

Combine like terms: -2b + -1b = -3b
0 = 13a + -3b + 1b

Combine like terms: -3b + 1b = -2b
0 = 13a + -2b

Solving
0 = 13a + -2b

Solving for variable 'a'.

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

Add '-13a' to each side of the equation.
0 + -13a = 13a + -13a + -2b
Remove the zero:
-13a = 13a + -13a + -2b

Combine like terms: 13a + -13a = 0
-13a = 0 + -2b
-13a = -2b

Divide each side by '-13'.
a = 0.1538461538b

Simplifying
a = 0.1538461538b