3(1-7b)=37-4b

Solution for 3(1-7b)=37-4b equation:

Simplifying
3(1 + -7b) = 37 + -4b
(1 * 3 + -7b * 3) = 37 + -4b
(3 + -21b) = 37 + -4b

Solving
3 + -21b = 37 + -4b

Solving for variable 'b'.

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

Add '4b' to each side of the equation.
3 + -21b + 4b = 37 + -4b + 4b

Combine like terms: -21b + 4b = -17b
3 + -17b = 37 + -4b + 4b

Combine like terms: -4b + 4b = 0
3 + -17b = 37 + 0
3 + -17b = 37

Add '-3' to each side of the equation.
3 + -3 + -17b = 37 + -3

Combine like terms: 3 + -3 = 0
0 + -17b = 37 + -3
-17b = 37 + -3

Combine like terms: 37 + -3 = 34
-17b = 34

Divide each side by '-17'.
b = -2

Simplifying
b = -2