Answer :
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].
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].
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