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

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

Simplifying
3(2 + -1b) + -4(2 + -3b) = 16
(2 * 3 + -1b * 3) + -4(2 + -3b) = 16
(6 + -3b) + -4(2 + -3b) = 16
6 + -3b + (2 * -4 + -3b * -4) = 16
6 + -3b + (-8 + 12b) = 16

Reorder the terms:
6 + -8 + -3b + 12b = 16

Combine like terms: 6 + -8 = -2
-2 + -3b + 12b = 16

Combine like terms: -3b + 12b = 9b
-2 + 9b = 16

Solving
-2 + 9b = 16

Solving for variable 'b'.

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

Add '2' to each side of the equation.
-2 + 2 + 9b = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 9b = 16 + 2
9b = 16 + 2

Combine like terms: 16 + 2 = 18
9b = 18

Divide each side by '9'.
b = 2

Simplifying
b = 2