4=-2(b-4)+4(3b-6)

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Solution for 4=-2(b-4)+4(3b-6) equation:


Simplifying
4 = -2(b + -4) + 4(3b + -6)

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

Reorder the terms:
4 = 8 + -2b + 4(-6 + 3b)
4 = 8 + -2b + (-6 * 4 + 3b * 4)
4 = 8 + -2b + (-24 + 12b)

Reorder the terms:
4 = 8 + -24 + -2b + 12b

Combine like terms: 8 + -24 = -16
4 = -16 + -2b + 12b

Combine like terms: -2b + 12b = 10b
4 = -16 + 10b

Solving
4 = -16 + 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.
4 + -10b = -16 + 10b + -10b

Combine like terms: 10b + -10b = 0
4 + -10b = -16 + 0
4 + -10b = -16

Add '-4' to each side of the equation.
4 + -4 + -10b = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -10b = -16 + -4
-10b = -16 + -4

Combine like terms: -16 + -4 = -20
-10b = -20

Divide each side by '-10'.
b = 2

Simplifying
b = 2

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