5ab-2b=16ab-3(8+b)

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Solution for 5ab-2b=16ab-3(8+b) equation: 


Simplifying
5ab + -2b = 16ab + -3(8 + b)
5ab + -2b = 16ab + (8 * -3 + b * -3)
5ab + -2b = 16ab + (-24 + -3b)

Reorder the terms:
5ab + -2b = -24 + 16ab + -3b

Solving
5ab + -2b = -24 + 16ab + -3b

Solving for variable 'a'.

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

Add '-16ab' to each side of the equation.
5ab + -16ab + -2b = -24 + 16ab + -16ab + -3b

Combine like terms: 5ab + -16ab = -11ab
-11ab + -2b = -24 + 16ab + -16ab + -3b

Combine like terms: 16ab + -16ab = 0
-11ab + -2b = -24 + 0 + -3b
-11ab + -2b = -24 + -3b

Add '2b' to each side of the equation.
-11ab + -2b + 2b = -24 + -3b + 2b

Combine like terms: -2b + 2b = 0
-11ab + 0 = -24 + -3b + 2b
-11ab = -24 + -3b + 2b

Combine like terms: -3b + 2b = -1b
-11ab = -24 + -1b

Divide each side by '-11b'.
a = 2.181818182b-1 + 0.09090909091

Simplifying
a = 2.181818182b-1 + 0.09090909091

Reorder the terms:
a = 0.09090909091 + 2.181818182b-1

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