2(b+3)=4b(-2)2

Solution for 2(b+3)=4b(-2)2 equation:

Simplifying
2(b + 3) = 4b(-2) * 2

Reorder the terms:
2(3 + b) = 4b(-2) * 2
(3 * 2 + b * 2) = 4b(-2) * 2
(6 + 2b) = 4b(-2) * 2

Reorder the terms for easier multiplication:
6 + 2b = 4 * -2 * 2b

Multiply 4 * -2
6 + 2b = -8 * 2b

Multiply -8 * 2
6 + 2b = -16b

Solving
6 + 2b = -16b

Solving for variable 'b'.

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

Add '16b' to each side of the equation.
6 + 2b + 16b = -16b + 16b

Combine like terms: 2b + 16b = 18b
6 + 18b = -16b + 16b

Combine like terms: -16b + 16b = 0
6 + 18b = 0

Add '-6' to each side of the equation.
6 + -6 + 18b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 18b = 0 + -6
18b = 0 + -6

Combine like terms: 0 + -6 = -6
18b = -6

Divide each side by '18'.
b = -0.3333333333

Simplifying
b = -0.3333333333