6-6b=b-2(1+3b)

Solution for 6-6b=b-2(1+3b) equation:

Simplifying
6 + -6b = b + -2(1 + 3b)
6 + -6b = b + (1 * -2 + 3b * -2)
6 + -6b = b + (-2 + -6b)

Reorder the terms:
6 + -6b = -2 + b + -6b

Combine like terms: b + -6b = -5b
6 + -6b = -2 + -5b

Solving
6 + -6b = -2 + -5b

Solving for variable 'b'.

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

Add '5b' to each side of the equation.
6 + -6b + 5b = -2 + -5b + 5b

Combine like terms: -6b + 5b = -1b
6 + -1b = -2 + -5b + 5b

Combine like terms: -5b + 5b = 0
6 + -1b = -2 + 0
6 + -1b = -2

Add '-6' to each side of the equation.
6 + -6 + -1b = -2 + -6

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

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

Divide each side by '-1'.
b = 8

Simplifying
b = 8