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

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


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

Reorder the terms:
2(3 + b) + -4(b + 2) = 7(2b + -4) + 2(b + -2)
(3 * 2 + b * 2) + -4(b + 2) = 7(2b + -4) + 2(b + -2)
(6 + 2b) + -4(b + 2) = 7(2b + -4) + 2(b + -2)

Reorder the terms:
6 + 2b + -4(2 + b) = 7(2b + -4) + 2(b + -2)
6 + 2b + (2 * -4 + b * -4) = 7(2b + -4) + 2(b + -2)
6 + 2b + (-8 + -4b) = 7(2b + -4) + 2(b + -2)

Reorder the terms:
6 + -8 + 2b + -4b = 7(2b + -4) + 2(b + -2)

Combine like terms: 6 + -8 = -2
-2 + 2b + -4b = 7(2b + -4) + 2(b + -2)

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

Reorder the terms:
-2 + -2b = 7(-4 + 2b) + 2(b + -2)
-2 + -2b = (-4 * 7 + 2b * 7) + 2(b + -2)
-2 + -2b = (-28 + 14b) + 2(b + -2)

Reorder the terms:
-2 + -2b = -28 + 14b + 2(-2 + b)
-2 + -2b = -28 + 14b + (-2 * 2 + b * 2)
-2 + -2b = -28 + 14b + (-4 + 2b)

Reorder the terms:
-2 + -2b = -28 + -4 + 14b + 2b

Combine like terms: -28 + -4 = -32
-2 + -2b = -32 + 14b + 2b

Combine like terms: 14b + 2b = 16b
-2 + -2b = -32 + 16b

Solving
-2 + -2b = -32 + 16b

Solving for variable 'b'.

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

Add '-16b' to each side of the equation.
-2 + -2b + -16b = -32 + 16b + -16b

Combine like terms: -2b + -16b = -18b
-2 + -18b = -32 + 16b + -16b

Combine like terms: 16b + -16b = 0
-2 + -18b = -32 + 0
-2 + -18b = -32

Add '2' to each side of the equation.
-2 + 2 + -18b = -32 + 2

Combine like terms: -2 + 2 = 0
0 + -18b = -32 + 2
-18b = -32 + 2

Combine like terms: -32 + 2 = -30
-18b = -30

Divide each side by '-18'.
b = 1.666666667

Simplifying
b = 1.666666667

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