Final answer:
The expression 10(-s+8)-5(10s-8) simplifies to -60s + 120 by distributing the multiplication over the parentheses and then simplifying by combining like terms.
Step-by-step explanation:
To rewrite the expression 10(-s+8)-5(10s-8) in simplest terms, we follow these steps:
- Distribute the numbers outside the parentheses across the terms inside the parentheses: 10*(-s) + 10*8 - 5*10s + 5*8.
- Simplify the expression by combining like terms: -10s + 80 - 50s + 40.
- Add or subtract the like terms to get the final simplified expression: -60s + 120.
This gives us the simplified expression -60s + 120, which is the simplest form of the given expression.