Certainly! Let's solve the expression step-by-step:
We are given the expression:
[tex]\[ 78 - [24 - \{16(5 - 4 - 1)\}] \][/tex]
### Step 1: Solve the innermost parentheses
First, we solve the expression inside the parentheses:
[tex]\[ 5 - 4 - 1 \][/tex]
Step-by-step, we get:
[tex]\[ 5 - 4 = 1 \][/tex]
[tex]\[ 1 - 1 = 0 \][/tex]
So, \( 5 - 4 - 1 = 0 \).
### Step 2: Multiply by 16
Next, we use the result from Step 1 and multiply it by 16:
[tex]\[ 16 \times 0 = 0 \][/tex]
### Step 3: Solve the expression inside the curly braces
Now we include this multiplication result back into the original expression:
[tex]\[ 24 - 0 \][/tex]
### Step 4: Subtract from 24
Perform the subtraction:
[tex]\[ 24 - 0 = 24 \][/tex]
### Step 5: Solve the outermost expression
Finally, subtract this result from 78:
[tex]\[ 78 - 24 = 54 \][/tex]
So, the final answer is:
[tex]\[ 54 \][/tex]
