4. simplify \$\\frac{3-4|2(-3)|}{|-3|}\$ 7 9 -9 -7

QUESTION IMAGE

$4. simplify \$\\frac{3-4|2(-3)|}{|-3|}\$ 7 9 -9 -7$

Question

simplify \$\frac{3-4|2(-3)|}{|-3|}\$

7

9

-9

-7

Explanation:

Response

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Evaluate the absolute value expressions

Using the Order of Operations and Algebraic Simplification knowledge points
\[

\begin{aligned} |2(-3)| &= |-6| = 6\\ |-3| &= 3 \end{aligned}

\]

Substitute and simplify the numerator

Using the Order of Operations and Algebraic Simplification knowledge points
\[
3 - 4|2(-3)| = 3 - 4(6) = 3 - 24 = -21
\]

Divide the numerator by the denominator

Using the Order of Operations and Algebraic Simplification knowledge points
\[
\frac{-21}{3} = -7
\]
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Answer: