3b-2(b-6)=2+2b

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


Simplifying
3b + -2(b + -6) = 2 + 2b

Reorder the terms:
3b + -2(-6 + b) = 2 + 2b
3b + (-6 * -2 + b * -2) = 2 + 2b
3b + (12 + -2b) = 2 + 2b

Reorder the terms:
12 + 3b + -2b = 2 + 2b

Combine like terms: 3b + -2b = 1b
12 + 1b = 2 + 2b

Solving
12 + 1b = 2 + 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.
12 + 1b + -2b = 2 + 2b + -2b

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

Combine like terms: 2b + -2b = 0
12 + -1b = 2 + 0
12 + -1b = 2

Add '-12' to each side of the equation.
12 + -12 + -1b = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -1b = 2 + -12
-1b = 2 + -12

Combine like terms: 2 + -12 = -10
-1b = -10

Divide each side by '-1'.
b = 10

Simplifying
b = 10

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