Simplify. -9c-7c
The correct answer and explanation is:
The expression −9c−7c-9c – 7c can be simplified by combining like terms.
Step-by-step process:
- Identify Like Terms: The terms −9c-9c and −7c-7c are both terms involving the variable cc. Since they have the same variable, they are like terms and can be combined.
- Combine the Coefficients: The coefficients are −9-9 and −7-7. To combine them, simply add the two numbers: −9+(−7)=−16-9 + (-7) = -16
- Write the Simplified Expression: After adding the coefficients, you get −16c-16c.
Final Answer:
−9c−7c=−16c-9c – 7c = -16c
Explanation:
In algebra, terms that involve the same variable are called like terms, and they can be combined by adding or subtracting their coefficients. In this case, both terms have the variable cc, so you can combine them by adding their coefficients, −9-9 and −7-7. This results in −16-16, and the simplified expression becomes −16c-16c.
This concept is important because combining like terms simplifies expressions, making them easier to work with in algebraic equations and functions.