4b-2(b-7)=2+3b

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Solution for 4b-2(b-7)=2+3b equation:


Simplifying
4b + -2(b + -7) = 2 + 3b

Reorder the terms:
4b + -2(-7 + b) = 2 + 3b
4b + (-7 * -2 + b * -2) = 2 + 3b
4b + (14 + -2b) = 2 + 3b

Reorder the terms:
14 + 4b + -2b = 2 + 3b

Combine like terms: 4b + -2b = 2b
14 + 2b = 2 + 3b

Solving
14 + 2b = 2 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
14 + 2b + -3b = 2 + 3b + -3b

Combine like terms: 2b + -3b = -1b
14 + -1b = 2 + 3b + -3b

Combine like terms: 3b + -3b = 0
14 + -1b = 2 + 0
14 + -1b = 2

Add '-14' to each side of the equation.
14 + -14 + -1b = 2 + -14

Combine like terms: 14 + -14 = 0
0 + -1b = 2 + -14
-1b = 2 + -14

Combine like terms: 2 + -14 = -12
-1b = -12

Divide each side by '-1'.
b = 12

Simplifying
b = 12

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