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

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

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

Reorder the terms:
6(6 + b) = -3(4b + -6)
(6 * 6 + b * 6) = -3(4b + -6)
(36 + 6b) = -3(4b + -6)

Reorder the terms:
36 + 6b = -3(-6 + 4b)
36 + 6b = (-6 * -3 + 4b * -3)
36 + 6b = (18 + -12b)

Solving
36 + 6b = 18 + -12b

Solving for variable 'b'.

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

Add '12b' to each side of the equation.
36 + 6b + 12b = 18 + -12b + 12b

Combine like terms: 6b + 12b = 18b
36 + 18b = 18 + -12b + 12b

Combine like terms: -12b + 12b = 0
36 + 18b = 18 + 0
36 + 18b = 18

Add '-36' to each side of the equation.
36 + -36 + 18b = 18 + -36

Combine like terms: 36 + -36 = 0
0 + 18b = 18 + -36
18b = 18 + -36

Combine like terms: 18 + -36 = -18
18b = -18

Divide each side by '18'.
b = -1

Simplifying
b = -1