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

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


Simplifying
-1(b + -2) + 3b = 2(2b + 7) + 4

Reorder the terms:
-1(-2 + b) + 3b = 2(2b + 7) + 4
(-2 * -1 + b * -1) + 3b = 2(2b + 7) + 4
(2 + -1b) + 3b = 2(2b + 7) + 4

Combine like terms: -1b + 3b = 2b
2 + 2b = 2(2b + 7) + 4

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

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

Combine like terms: 14 + 4 = 18
2 + 2b = 18 + 4b

Solving
2 + 2b = 18 + 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.
2 + 2b + -4b = 18 + 4b + -4b

Combine like terms: 2b + -4b = -2b
2 + -2b = 18 + 4b + -4b

Combine like terms: 4b + -4b = 0
2 + -2b = 18 + 0
2 + -2b = 18

Add '-2' to each side of the equation.
2 + -2 + -2b = 18 + -2

Combine like terms: 2 + -2 = 0
0 + -2b = 18 + -2
-2b = 18 + -2

Combine like terms: 18 + -2 = 16
-2b = 16

Divide each side by '-2'.
b = -8

Simplifying
b = -8

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