2(27-b)=100-4b+6(3+b)

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Solution for 2(27-b)=100-4b+6(3+b) equation: 


Simplifying
2(27 + -1b) = 100 + -4b + 6(3 + b)
(27 * 2 + -1b * 2) = 100 + -4b + 6(3 + b)
(54 + -2b) = 100 + -4b + 6(3 + b)
54 + -2b = 100 + -4b + (3 * 6 + b * 6)
54 + -2b = 100 + -4b + (18 + 6b)

Reorder the terms:
54 + -2b = 100 + 18 + -4b + 6b

Combine like terms: 100 + 18 = 118
54 + -2b = 118 + -4b + 6b

Combine like terms: -4b + 6b = 2b
54 + -2b = 118 + 2b

Solving
54 + -2b = 118 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
54 + -2b + -2b = 118 + 2b + -2b

Combine like terms: -2b + -2b = -4b
54 + -4b = 118 + 2b + -2b

Combine like terms: 2b + -2b = 0
54 + -4b = 118 + 0
54 + -4b = 118

Add '-54' to each side of the equation.
54 + -54 + -4b = 118 + -54

Combine like terms: 54 + -54 = 0
0 + -4b = 118 + -54
-4b = 118 + -54

Combine like terms: 118 + -54 = 64
-4b = 64

Divide each side by '-4'.
b = -16

Simplifying
b = -16

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