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Problem 5

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

Expert verified
The simplified expression is $$-27$$.
See the step by step solution

## 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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