3(1-4b)=-6b+33

Solution for 3(1-4b)=-6b+33 equation:

Simplifying
3(1 + -4b) = -6b + 33
(1 * 3 + -4b * 3) = -6b + 33
(3 + -12b) = -6b + 33

Reorder the terms:
3 + -12b = 33 + -6b

Solving
3 + -12b = 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 + -12b + 6b = 33 + -6b + 6b

Combine like terms: -12b + 6b = -6b
3 + -6b = 33 + -6b + 6b

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

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

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

Combine like terms: 33 + -3 = 30
-6b = 30

Divide each side by '-6'.
b = -5

Simplifying
b = -5