2(-4b+8)=-3(b+3)

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Solution for 2(-4b+8)=-3(b+3) equation: 


Simplifying
2(-4b + 8) = -3(b + 3)

Reorder the terms:
2(8 + -4b) = -3(b + 3)
(8 * 2 + -4b * 2) = -3(b + 3)
(16 + -8b) = -3(b + 3)

Reorder the terms:
16 + -8b = -3(3 + b)
16 + -8b = (3 * -3 + b * -3)
16 + -8b = (-9 + -3b)

Solving
16 + -8b = -9 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
16 + -8b + 3b = -9 + -3b + 3b

Combine like terms: -8b + 3b = -5b
16 + -5b = -9 + -3b + 3b

Combine like terms: -3b + 3b = 0
16 + -5b = -9 + 0
16 + -5b = -9

Add '-16' to each side of the equation.
16 + -16 + -5b = -9 + -16

Combine like terms: 16 + -16 = 0
0 + -5b = -9 + -16
-5b = -9 + -16

Combine like terms: -9 + -16 = -25
-5b = -25

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

Simplifying
b = 5

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