Certainly! Let's solve the expression step-by-step, using the BDMAS rule, which stands for Brackets, Division, Multiplication, Addition, and Subtraction.
The given expression is:
[tex]\[ [-12 + \{ 4 \div ((-2) + (-2)) \}] \times 5 \][/tex]
1. Evaluate the expression inside the parentheses [tex]\( (-2) + (-2) \)[/tex]:
[tex]\[ (-2) + (-2) = -4 \][/tex]
2. Next, handle the division inside the curly braces [tex]\( \{ 4 \div (-4) \} \)[/tex]:
[tex]\[ 4 \div (-4) = -1 \][/tex]
3. Substitute the result back into the expression so that the original expression now looks like this:
[tex]\[ [-12 + (-1)] \times 5 \][/tex]
4. Evaluate the expression inside the square brackets [tex]\( -12 + (-1) \)[/tex]:
[tex]\[ -12 + (-1) = -13 \][/tex]
5. Finally, multiply the result by 5:
[tex]\[ -13 \times 5 = -65 \][/tex]
So, the value of the given expression is:
[tex]\[ -65 \][/tex]
