4(2b-4)=-2(3-5b)

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Solution for 4(2b-4)=-2(3-5b) equation:


Simplifying
4(2b + -4) = -2(3 + -5b)

Reorder the terms:
4(-4 + 2b) = -2(3 + -5b)
(-4 * 4 + 2b * 4) = -2(3 + -5b)
(-16 + 8b) = -2(3 + -5b)
-16 + 8b = (3 * -2 + -5b * -2)
-16 + 8b = (-6 + 10b)

Solving
-16 + 8b = -6 + 10b

Solving for variable 'b'.

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

Add '-10b' to each side of the equation.
-16 + 8b + -10b = -6 + 10b + -10b

Combine like terms: 8b + -10b = -2b
-16 + -2b = -6 + 10b + -10b

Combine like terms: 10b + -10b = 0
-16 + -2b = -6 + 0
-16 + -2b = -6

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

Combine like terms: -16 + 16 = 0
0 + -2b = -6 + 16
-2b = -6 + 16

Combine like terms: -6 + 16 = 10
-2b = 10

Divide each side by '-2'.
b = -5

Simplifying
b = -5

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