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

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


Simplifying
2b + 6(2 + -1b) = -1b
2b + (2 * 6 + -1b * 6) = -1b
2b + (12 + -6b) = -1b

Reorder the terms:
12 + 2b + -6b = -1b

Combine like terms: 2b + -6b = -4b
12 + -4b = -1b

Solving
12 + -4b = -1b

Solving for variable 'b'.

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

Add 'b' to each side of the equation.
12 + -4b + b = -1b + b

Combine like terms: -4b + b = -3b
12 + -3b = -1b + b

Combine like terms: -1b + b = 0
12 + -3b = 0

Add '-12' to each side of the equation.
12 + -12 + -3b = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -3b = 0 + -12
-3b = 0 + -12

Combine like terms: 0 + -12 = -12
-3b = -12

Divide each side by '-3'.
b = 4

Simplifying
b = 4

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