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. Simplify;2 - 2+5 - 2 - 8 -8.

1 Answer

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The given expression:


(4)/(9)z-(3)/(9)z+5-(5)/(9)z-8

To simplify the expression :

Group the similar terms together :


(4)/(9)z-(3)/(9)z+5-(5)/(9)z-8=(4)/(9)z-(3)/(9)z-(5)/(9)z+5-8

Simplify the similar terms together :


\begin{gathered} (4)/(9)z-(3)/(9)z+5-(5)/(9)z-8=(4)/(9)z-(3)/(9)z-(5)/(9)z+5-8 \\ (4)/(9)z-(3)/(9)z+5-(5)/(9)z-8=((4)/(9)z-(3)/(9)z-(5)/(9)z)+5-8 \\ LCM\text{ of 9,9,9 is 9 So:} \\ (4)/(9)z-(3)/(9)z-(5)/(9)z=(4-3-5)/(9)z \\ (4)/(9)z-(3)/(9)z-(5)/(9)z=(-4)/(9)z \\ \text{Substitute the value of fraction addition:} \\ (4)/(9)z-(3)/(9)z+5-(5)/(9)z-8=-(4)/(9)z+5-8 \\ \text{ Since, 5-8= (-3)} \\ (4)/(9)z-(3)/(9)z+5-(5)/(9)z-8=-(4)/(9)z-3 \end{gathered}

So, :


(4)/(9)z-(3)/(9)z+5-(5)/(9)z-8=-(4)/(9)z-3

Answer :


(4)/(9)z-(3)/(9)z+5-(5)/(9)z-8=-(4)/(9)z-3

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