-8b-2(4b+1)=-5b+3(b+4)

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Solution for -8b-2(4b+1)=-5b+3(b+4) equation:


Simplifying
-8b + -2(4b + 1) = -5b + 3(b + 4)

Reorder the terms:
-8b + -2(1 + 4b) = -5b + 3(b + 4)
-8b + (1 * -2 + 4b * -2) = -5b + 3(b + 4)
-8b + (-2 + -8b) = -5b + 3(b + 4)

Reorder the terms:
-2 + -8b + -8b = -5b + 3(b + 4)

Combine like terms: -8b + -8b = -16b
-2 + -16b = -5b + 3(b + 4)

Reorder the terms:
-2 + -16b = -5b + 3(4 + b)
-2 + -16b = -5b + (4 * 3 + b * 3)
-2 + -16b = -5b + (12 + 3b)

Reorder the terms:
-2 + -16b = 12 + -5b + 3b

Combine like terms: -5b + 3b = -2b
-2 + -16b = 12 + -2b

Solving
-2 + -16b = 12 + -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.
-2 + -16b + 2b = 12 + -2b + 2b

Combine like terms: -16b + 2b = -14b
-2 + -14b = 12 + -2b + 2b

Combine like terms: -2b + 2b = 0
-2 + -14b = 12 + 0
-2 + -14b = 12

Add '2' to each side of the equation.
-2 + 2 + -14b = 12 + 2

Combine like terms: -2 + 2 = 0
0 + -14b = 12 + 2
-14b = 12 + 2

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

Divide each side by '-14'.
b = -1

Simplifying
b = -1

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