12(b+6)-(-3+6b)=4b-3b

Solution for 12(b+6)-(-3+6b)=4b-3b equation:

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

Reorder the terms:
12(6 + b) + -1(-3 + 6b) = 4b + -3b
(6 * 12 + b * 12) + -1(-3 + 6b) = 4b + -3b
(72 + 12b) + -1(-3 + 6b) = 4b + -3b
72 + 12b + (-3 * -1 + 6b * -1) = 4b + -3b
72 + 12b + (3 + -6b) = 4b + -3b

Reorder the terms:
72 + 3 + 12b + -6b = 4b + -3b

Combine like terms: 72 + 3 = 75
75 + 12b + -6b = 4b + -3b

Combine like terms: 12b + -6b = 6b
75 + 6b = 4b + -3b

Combine like terms: 4b + -3b = 1b
75 + 6b = 1b

Solving
75 + 6b = 1b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
75 + 6b + -1b = 1b + -1b

Combine like terms: 6b + -1b = 5b
75 + 5b = 1b + -1b

Combine like terms: 1b + -1b = 0
75 + 5b = 0

Add '-75' to each side of the equation.
75 + -75 + 5b = 0 + -75

Combine like terms: 75 + -75 = 0
0 + 5b = 0 + -75
5b = 0 + -75

Combine like terms: 0 + -75 = -75
5b = -75

Divide each side by '5'.
b = -15

Simplifying
b = -15