Answer :

GinnyAnswer
Let's solve the expression step-by-step:

Given expression:
[tex]\[ 18 + 2\left[\{9 - 2(27 \div 3 - 5) + 4\} + 2\right] \][/tex]

1. Start with the innermost parentheses:
[tex]\[ 27 \div 3 \][/tex]
[tex]\[ 27 \div 3 = 9 \][/tex]

2. Substitute and simplify:
[tex]\[ 27 \div 3 - 5 \][/tex]
[tex]\[ 9 - 5 = 4 \][/tex]

3. Now handle the multiplication by 2:
[tex]\[ 2(4) \][/tex]
[tex]\[ 2 \times 4 = 8 \][/tex]

4. Next, handle the expression inside the curly braces:
[tex]\[ 9 - 8 + 4 \][/tex]
[tex]\[ 1 + 4 = 5 \][/tex]

5. Now handle the expression inside the square brackets:
[tex]\[ 5 + 2 \][/tex]
[tex]\[ 5 + 2 = 7 \][/tex]

6. Finally, solve the entire expression:
[tex]\[ 18 + 2(7) \][/tex]
[tex]\[ 18 + 2 \times 7 = 18 + 14 = 32 \][/tex]

So, the final result is [tex]\(\boxed{32}\)[/tex].
Hi1315

Answer:

32

Step-by-step explanation:

Let's simplify the expression step-by-step:

[tex]18 + 2 \left[ \left\{ 9 - 2 \left( \frac{27}{3} - 5 \right) + 4 \right\} + 2 \right][/tex]

First, simplify the innermost parentheses:

[tex]\frac{27}{3} = 9[/tex]

Next, substitute 9 back into the expression:

[tex]18 + 2 \left[ \left\{ 9 - 2 \left( 9 - 5 \right) + 4 \right\} + 2 \right][/tex]

Simplify inside the parentheses:

9 - 5 = 4

Now the expression becomes:

[tex]18 + 2 \left[ \left\{ 9 - 2 \cdot 4 + 4 \right\} + 2 \right][/tex]

Perform the multiplication:

[tex]2 \cdot 4 = 8[/tex]

Now the expression is:

[tex]18 + 2 \left[ \left\{ 9 - 8 + 4 \right\} + 2 \right][/tex]

Simplify inside the braces:

9 - 8 = 1

So, the expression becomes:

[tex]18 + 2 \left[ \left\{ 1 + 4 \right\} + 2 \right][/tex]

Simplify inside the braces:

1 + 4 = 5

Now the expression is:

[tex]18 + 2 \left[ 5 + 2 \right][/tex]

Simplify inside the brackets:

5 + 2 = 7

Now the expression is:

[tex]18 + 2 \cdot 7[/tex]

Perform the multiplication:

[tex]2 \cdot 7 = 14[/tex]

Add the numbers:

18 + 14 = 32

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