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Chapter 1: Chapter 1

Problem 5

Next question

Simplify \(4[-2(3+9) \div 3]+5\)

Short Answer

Expert verified
The simplified expression is \(-27\).
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TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Solve inside the brackets

First, we need to solve the expression inside the brackets. We have: \(-2(3+9) \div 3\)

Step 2: Evaluate addition inside the brackets

Perform the addition inside the parentheses: \(-2(12) \div 3\)

Step 3: Perform multiplication and division from left to right

Now, we need to perform the multiplication and division in the order they appear (from left to right). First, do the multiplication: \(-24 \div 3\) Next, do the division: \(-8\)

Step 4: Multiply the result with 4 and add 5

Now, multiply the result from step 3 by 4 and add 5: \(4\times-8 + 5\) First, perform the multiplication: \(-32 + 5\) Finally, perform the addition: \(-27\)

Step 5: Simplify the expression

The simplified expression is: \(-27\)

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