21+3b=6-6(1-4b)

Solution for 21+3b=6-6(1-4b) equation:

Simplifying
21 + 3b = 6 + -6(1 + -4b)
21 + 3b = 6 + (1 * -6 + -4b * -6)
21 + 3b = 6 + (-6 + 24b)

Combine like terms: 6 + -6 = 0
21 + 3b = 0 + 24b
21 + 3b = 24b

Solving
21 + 3b = 24b

Solving for variable 'b'.

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

Add '-24b' to each side of the equation.
21 + 3b + -24b = 24b + -24b

Combine like terms: 3b + -24b = -21b
21 + -21b = 24b + -24b

Combine like terms: 24b + -24b = 0
21 + -21b = 0

Add '-21' to each side of the equation.
21 + -21 + -21b = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -21b = 0 + -21
-21b = 0 + -21

Combine like terms: 0 + -21 = -21
-21b = -21

Divide each side by '-21'.
b = 1

Simplifying
b = 1