6a+2(3a+4)-b(6-a)+13b=

Solution for 6a+2(3a+4)-b(6-a)+13b= equation:

Simplifying
6a + 2(3a + 4) + -1b(6 + -1a) + 13b = 0

Reorder the terms:
6a + 2(4 + 3a) + -1b(6 + -1a) + 13b = 0
6a + (4 * 2 + 3a * 2) + -1b(6 + -1a) + 13b = 0
6a + (8 + 6a) + -1b(6 + -1a) + 13b = 0
6a + 8 + 6a + (6 * -1b + -1a * -1b) + 13b = 0

Reorder the terms:
6a + 8 + 6a + (1ab + -6b) + 13b = 0
6a + 8 + 6a + (1ab + -6b) + 13b = 0

Reorder the terms:
8 + 6a + 6a + 1ab + -6b + 13b = 0

Combine like terms: 6a + 6a = 12a
8 + 12a + 1ab + -6b + 13b = 0

Combine like terms: -6b + 13b = 7b
8 + 12a + 1ab + 7b = 0

Solving
8 + 12a + 1ab + 7b = 0

Solving for variable 'a'.

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

Add '-8' to each side of the equation.
8 + 12a + 1ab + -8 + 7b = 0 + -8

Reorder the terms:
8 + -8 + 12a + 1ab + 7b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 12a + 1ab + 7b = 0 + -8
12a + 1ab + 7b = 0 + -8

Combine like terms: 0 + -8 = -8
12a + 1ab + 7b = -8

Add '-7b' to each side of the equation.
12a + 1ab + 7b + -7b = -8 + -7b

Combine like terms: 7b + -7b = 0
12a + 1ab + 0 = -8 + -7b
12a + 1ab = -8 + -7b

Reorder the terms:
8 + 12a + 1ab + 7b = -8 + -7b + 8 + 7b

Reorder the terms:
8 + 12a + 1ab + 7b = -8 + 8 + -7b + 7b

Combine like terms: -8 + 8 = 0
8 + 12a + 1ab + 7b = 0 + -7b + 7b
8 + 12a + 1ab + 7b = -7b + 7b

Combine like terms: -7b + 7b = 0
8 + 12a + 1ab + 7b = 0

The solution to this equation could not be determined.