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

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

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

Combine like terms: -2b + -2b = -4b
6 + -4b = 6(n + 2)

Reorder the terms:
6 + -4b = 6(2 + n)
6 + -4b = (2 * 6 + n * 6)
6 + -4b = (12 + 6n)

Solving
6 + -4b = 12 + 6n

Solving for variable 'b'.

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

Add '-6' to each side of the equation.
6 + -6 + -4b = 12 + -6 + 6n

Combine like terms: 6 + -6 = 0
0 + -4b = 12 + -6 + 6n
-4b = 12 + -6 + 6n

Combine like terms: 12 + -6 = 6
-4b = 6 + 6n

Divide each side by '-4'.
b = -1.5 + -1.5n

Simplifying
b = -1.5 + -1.5n