2*b+6=2*(2*b-8)

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Solution for 2*b+6=2*(2*b-8) equation:


Simplifying
2b + 6 = 2(2b + -8)

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

Reorder the terms:
6 + 2b = 2(-8 + 2b)
6 + 2b = (-8 * 2 + 2b * 2)
6 + 2b = (-16 + 4b)

Solving
6 + 2b = -16 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
6 + 2b + -4b = -16 + 4b + -4b

Combine like terms: 2b + -4b = -2b
6 + -2b = -16 + 4b + -4b

Combine like terms: 4b + -4b = 0
6 + -2b = -16 + 0
6 + -2b = -16

Add '-6' to each side of the equation.
6 + -6 + -2b = -16 + -6

Combine like terms: 6 + -6 = 0
0 + -2b = -16 + -6
-2b = -16 + -6

Combine like terms: -16 + -6 = -22
-2b = -22

Divide each side by '-2'.
b = 11

Simplifying
b = 11

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