Simplify :
`5{(-6)+(12div4)}`

Answer

To simplify the expression \( 5 \{ (-6) + (12 \div 4) \} \), we will follow these steps:

### Step 1: Simplify the division inside the brackets
First, we need to calculate \( 12 \div 4 \).

\[ 12 \div 4 = 3 \]

### Step 2: Substitute back into the expression
Now, we can substitute this value back into the expression:

\[ 5 \{ (-6) + 3 \} \]

### Step 3: Simplify the expression inside the curly brackets
Next, we simplify \( (-6) + 3 \):

\[ -6 + 3 = -3 \]

### Step 4: Multiply by 5
Now we multiply the result by 5:

\[ 5 \times (-3) = -15 \]

### Final Answer
Thus, the simplified expression is:

\[ \boxed{-15} \]

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