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

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

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

Reorder the terms:
6 + 24b = -6(-4 + 4b)
6 + 24b = (-4 * -6 + 4b * -6)
6 + 24b = (24 + -24b)

Solving
6 + 24b = 24 + -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.
6 + 24b + 24b = 24 + -24b + 24b

Combine like terms: 24b + 24b = 48b
6 + 48b = 24 + -24b + 24b

Combine like terms: -24b + 24b = 0
6 + 48b = 24 + 0
6 + 48b = 24

Add '-6' to each side of the equation.
6 + -6 + 48b = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 48b = 24 + -6
48b = 24 + -6

Combine like terms: 24 + -6 = 18
48b = 18

Divide each side by '48'.
b = 0.375

Simplifying
b = 0.375