3(4-4b)=-7(b-6)

Solution for 3(4-4b)=-7(b-6) equation:

Simplifying
3(4 + -4b) = -7(b + -6)
(4 * 3 + -4b * 3) = -7(b + -6)
(12 + -12b) = -7(b + -6)

Reorder the terms:
12 + -12b = -7(-6 + b)
12 + -12b = (-6 * -7 + b * -7)
12 + -12b = (42 + -7b)

Solving
12 + -12b = 42 + -7b

Solving for variable 'b'.

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

Add '7b' to each side of the equation.
12 + -12b + 7b = 42 + -7b + 7b

Combine like terms: -12b + 7b = -5b
12 + -5b = 42 + -7b + 7b

Combine like terms: -7b + 7b = 0
12 + -5b = 42 + 0
12 + -5b = 42

Add '-12' to each side of the equation.
12 + -12 + -5b = 42 + -12

Combine like terms: 12 + -12 = 0
0 + -5b = 42 + -12
-5b = 42 + -12

Combine like terms: 42 + -12 = 30
-5b = 30

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

Simplifying
b = -6