Final answer:
The equivalent expression to (m−3n−2)−4 is m−7n−6 after distributing the negative sign and combining the constant terms.
Step-by-step explanation:
The question asks which expression is equivalent to the given expression (m−3n−2)−4. To find the equivalent expression, we must distribute the negative sign inside the parentheses to each term and then subtract 4 from the resulting constant term.
Step-by-step, we have:
- Distribute the negative sign: m - (3n) - (2) - 4
- Combine the constant terms: m - 3n - 2 - 4
- Simplify the constant terms: m - 3n - (2 + 4)
- Final simplification: m - 3n - 6
The equivalent expression is therefore m − 7n − 6.