The expression \((-2a) \cdot (-b) \cdot (-7)\) can be simplified by multiplying the constants and variables together, while considering the signs.

1. Multiply the constants: \(-2 \cdot -1 \cdot -7\).
   - \( -2 \cdot -1 = 2 \) (since a negative times a negative is positive)
   - \( 2 \cdot -7 = -14 \) (since a positive times a negative is negative)

2. Combine the variables \(a\) and \(b\) with the result from step 1:
   - The final result is \(-14ab\).

So, \((-2a) \cdot (-b) \cdot (-7) = -14ab\).

Would you like to know more details or have any questions?

Here are 5 related questions to explore further:
1. How would the expression change if one of the terms were positive?
2. What happens if one of the variables is zero?
3. Can you simplify the expression if \(a = 3\) and \(b = -2\)?
4. How does the expression simplify if \(a = 0\)?
5. What if the expression was raised to a power, such as \((-2a) \cdot (-b) \cdot (-7)^2\)?

**Tip:** Remember, the product of an even number of negative factors is positive, while the product of an odd number of negative factors is negative.

Explore how to simplify the expression (-2a)(-b)(-7) step-by-step with a detailed explanation. Understand the rules of multiplying integers and variables in algebraic expressions. Suitable for Grades 7-9 students learning algebra.

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