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

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

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

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

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

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

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

Solving
6 = -2 + n

Solving for variable 'n'.

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

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

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

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

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

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

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

Simplifying
n = 8