3(1-7b)=33-6b

Solution for 3(1-7b)=33-6b equation:

Simplifying
3(1 + -7b) = 33 + -6b
(1 * 3 + -7b * 3) = 33 + -6b
(3 + -21b) = 33 + -6b

Solving
3 + -21b = 33 + -6b

Solving for variable 'b'.

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

Add '6b' to each side of the equation.
3 + -21b + 6b = 33 + -6b + 6b

Combine like terms: -21b + 6b = -15b
3 + -15b = 33 + -6b + 6b

Combine like terms: -6b + 6b = 0
3 + -15b = 33 + 0
3 + -15b = 33

Add '-3' to each side of the equation.
3 + -3 + -15b = 33 + -3

Combine like terms: 3 + -3 = 0
0 + -15b = 33 + -3
-15b = 33 + -3

Combine like terms: 33 + -3 = 30
-15b = 30

Divide each side by '-15'.
b = -2

Simplifying
b = -2