Let's solve the expression [tex]\( -6(-8) \div (-5 - 7) \)[/tex] step-by-step.
1. Calculate [tex]\( -6(-8) \)[/tex]:
- When multiplying two negative numbers, the result is positive.
- So, [tex]\( -6 \times -8 = 48 \)[/tex].
2. Calculate [tex]\( -5 - 7 \)[/tex]:
- Subtracting a positive number from a negative number makes the result more negative.
- So, [tex]\( -5 - 7 = -12 \)[/tex].
3. Divide the results of the previous calculations:
- We now need to divide 48 by -12.
- Dividing a positive number by a negative number results in a negative number.
- So, [tex]\( 48 \div -12 = -4 \)[/tex].
Therefore, the result of the expression [tex]\( -6(-8) \div (-5 - 7) \)[/tex] is [tex]\( -4 \)[/tex].
