2(1+-2b)+b=8

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Solution for 2(1+-2b)+b=8 equation: 


Simplifying
2(1 + -2b) + b = 8
(1 * 2 + -2b * 2) + b = 8
(2 + -4b) + b = 8

Combine like terms: -4b + b = -3b
2 + -3b = 8

Solving
2 + -3b = 8

Solving for variable 'b'.

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

Add '-2' to each side of the equation.
2 + -2 + -3b = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -3b = 8 + -2
-3b = 8 + -2

Combine like terms: 8 + -2 = 6
-3b = 6

Divide each side by '-3'.
b = -2

Simplifying
b = -2

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