3(2+b)-4b=b+16

Solution for 3(2+b)-4b=b+16 equation:

Simplifying
3(2 + b) + -4b = b + 16
(2 * 3 + b * 3) + -4b = b + 16
(6 + 3b) + -4b = b + 16

Combine like terms: 3b + -4b = -1b
6 + -1b = b + 16

Reorder the terms:
6 + -1b = 16 + b

Solving
6 + -1b = 16 + b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
6 + -1b + -1b = 16 + b + -1b

Combine like terms: -1b + -1b = -2b
6 + -2b = 16 + b + -1b

Combine like terms: b + -1b = 0
6 + -2b = 16 + 0
6 + -2b = 16

Add '-6' to each side of the equation.
6 + -6 + -2b = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -2b = 16 + -6
-2b = 16 + -6

Combine like terms: 16 + -6 = 10
-2b = 10

Divide each side by '-2'.
b = -5

Simplifying
b = -5