6(a+b+1)+4(b-a-1)-8b=

Solution for 6(a+b+1)+4(b-a-1)-8b= equation:

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

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

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

Reorder the terms:
6 + -4 + 6a + -4a + 6b + 4b + -8b = 0

Combine like terms: 6 + -4 = 2
2 + 6a + -4a + 6b + 4b + -8b = 0

Combine like terms: 6a + -4a = 2a
2 + 2a + 6b + 4b + -8b = 0

Combine like terms: 6b + 4b = 10b
2 + 2a + 10b + -8b = 0

Combine like terms: 10b + -8b = 2b
2 + 2a + 2b = 0

Solving
2 + 2a + 2b = 0

Solving for variable 'a'.

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

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

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

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

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

Add '-2b' to each side of the equation.
2a + 2b + -2b = -2 + -2b

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

Divide each side by '2'.
a = -1 + -1b

Simplifying
a = -1 + -1b