36=-2(22-b)+4(b-4)

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Solution for 36=-2(22-b)+4(b-4) equation:


Simplifying
36 = -2(22 + -1b) + 4(b + -4)
36 = (22 * -2 + -1b * -2) + 4(b + -4)
36 = (-44 + 2b) + 4(b + -4)

Reorder the terms:
36 = -44 + 2b + 4(-4 + b)
36 = -44 + 2b + (-4 * 4 + b * 4)
36 = -44 + 2b + (-16 + 4b)

Reorder the terms:
36 = -44 + -16 + 2b + 4b

Combine like terms: -44 + -16 = -60
36 = -60 + 2b + 4b

Combine like terms: 2b + 4b = 6b
36 = -60 + 6b

Solving
36 = -60 + 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.
36 + -6b = -60 + 6b + -6b

Combine like terms: 6b + -6b = 0
36 + -6b = -60 + 0
36 + -6b = -60

Add '-36' to each side of the equation.
36 + -36 + -6b = -60 + -36

Combine like terms: 36 + -36 = 0
0 + -6b = -60 + -36
-6b = -60 + -36

Combine like terms: -60 + -36 = -96
-6b = -96

Divide each side by '-6'.
b = 16

Simplifying
b = 16

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