46=-2(23-b)+4(b-4)

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Solution for 46=-2(23-b)+4(b-4) equation:


Simplifying
46 = -2(23 + -1b) + 4(b + -4)
46 = (23 * -2 + -1b * -2) + 4(b + -4)
46 = (-46 + 2b) + 4(b + -4)

Reorder the terms:
46 = -46 + 2b + 4(-4 + b)
46 = -46 + 2b + (-4 * 4 + b * 4)
46 = -46 + 2b + (-16 + 4b)

Reorder the terms:
46 = -46 + -16 + 2b + 4b

Combine like terms: -46 + -16 = -62
46 = -62 + 2b + 4b

Combine like terms: 2b + 4b = 6b
46 = -62 + 6b

Solving
46 = -62 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
46 + -6b = -62 + 6b + -6b

Combine like terms: 6b + -6b = 0
46 + -6b = -62 + 0
46 + -6b = -62

Add '-46' to each side of the equation.
46 + -46 + -6b = -62 + -46

Combine like terms: 46 + -46 = 0
0 + -6b = -62 + -46
-6b = -62 + -46

Combine like terms: -62 + -46 = -108
-6b = -108

Divide each side by '-6'.
b = 18

Simplifying
b = 18

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