6b-2(d-2)3(d-2)=

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Solution for 6b-2(d-2)3(d-2)= equation: 


Simplifying
6b + -2(d + -2) * 3(d + -2) = 0

Reorder the terms:
6b + -2(-2 + d) * 3(d + -2) = 0

Reorder the terms:
6b + -2(-2 + d) * 3(-2 + d) = 0

Reorder the terms for easier multiplication:
6b + -2 * 3(-2 + d)(-2 + d) = 0

Multiply -2 * 3
6b + -6(-2 + d)(-2 + d) = 0

Multiply (-2 + d) * (-2 + d)
6b + -6(-2(-2 + d) + d(-2 + d)) = 0
6b + -6((-2 * -2 + d * -2) + d(-2 + d)) = 0
6b + -6((4 + -2d) + d(-2 + d)) = 0
6b + -6(4 + -2d + (-2 * d + d * d)) = 0
6b + -6(4 + -2d + (-2d + d2)) = 0

Combine like terms: -2d + -2d = -4d
6b + -6(4 + -4d + d2) = 0
6b + (4 * -6 + -4d * -6 + d2 * -6) = 0
6b + (-24 + 24d + -6d2) = 0

Reorder the terms:
-24 + 6b + 24d + -6d2 = 0

Solving
-24 + 6b + 24d + -6d2 = 0

Solving for variable 'b'.

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

Add '24' to each side of the equation.
-24 + 6b + 24d + 24 + -6d2 = 0 + 24

Reorder the terms:
-24 + 24 + 6b + 24d + -6d2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 6b + 24d + -6d2 = 0 + 24
6b + 24d + -6d2 = 0 + 24

Combine like terms: 0 + 24 = 24
6b + 24d + -6d2 = 24

Add '-24d' to each side of the equation.
6b + 24d + -24d + -6d2 = 24 + -24d

Combine like terms: 24d + -24d = 0
6b + 0 + -6d2 = 24 + -24d
6b + -6d2 = 24 + -24d

Add '6d2' to each side of the equation.
6b + -6d2 + 6d2 = 24 + -24d + 6d2

Combine like terms: -6d2 + 6d2 = 0
6b + 0 = 24 + -24d + 6d2
6b = 24 + -24d + 6d2

Divide each side by '6'.
b = 4 + -4d + d2

Simplifying
b = 4 + -4d + d2

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