2(3-3b)+6b=8(b-8)-3b

Solution for 2(3-3b)+6b=8(b-8)-3b equation:

Simplifying
2(3 + -3b) + 6b = 8(b + -8) + -3b
(3 * 2 + -3b * 2) + 6b = 8(b + -8) + -3b
(6 + -6b) + 6b = 8(b + -8) + -3b

Combine like terms: -6b + 6b = 0
6 + 0 = 8(b + -8) + -3b
6 = 8(b + -8) + -3b

Reorder the terms:
6 = 8(-8 + b) + -3b
6 = (-8 * 8 + b * 8) + -3b
6 = (-64 + 8b) + -3b

Combine like terms: 8b + -3b = 5b
6 = -64 + 5b

Solving
6 = -64 + 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 + -5b = -64 + 5b + -5b

Combine like terms: 5b + -5b = 0
6 + -5b = -64 + 0
6 + -5b = -64

Add '-6' to each side of the equation.
6 + -6 + -5b = -64 + -6

Combine like terms: 6 + -6 = 0
0 + -5b = -64 + -6
-5b = -64 + -6

Combine like terms: -64 + -6 = -70
-5b = -70

Divide each side by '-5'.
b = 14

Simplifying
b = 14