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\( 2.4 \begin{array}{cc}2(-3)-(5)-4(6 \div(-3)) \\ \text { A } & 5-6 \\ \text { B } & 22 \\ \text { C } & 19 \\ \text { D } & 9\end{array}= \)

Ask by Wang Conner. in South Africa
Mar 09,2025

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Answer

The value of the expression is \(-3\).

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The Deep Dive

To solve the expression \( 2.4 \, (2(-3)-(5)-4(6 \div(-3))) \), let's break it down step by step: 1. Calculate \( 6 \div (-3) = -2 \). 2. Substitute back: \( 4(-2) = -8 \). 3. Now the expression looks like \( 2(-3) - 5 + 8 = -6 - 5 + 8 \). 4. Now combine: \( -6 - 5 = -11 \), and then \( -11 + 8 = -3 \). 5. Finally, we need to multiply by \( 2.4 \): \( 2.4 \times -3 = -7.2 \). So the answer is none of the options provided: \( -7.2 \). However, if you were talking about a problem-solving mindset, remember that breaking down complex algebraic expressions step-by-step can help avoid mistakes. Always double-check each arithmetic operation! Also, practice makes perfect! Seek additional practice problems on algebraic expressions to build that muscle memory, and don’t hesitate to mix up methodologies to see which works best for you—whether it’s diagrams, manipulation, or simply writing down each step meticulously.

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