Simplifying the Expression (3w-8)-4(2w+3)
This article will guide you through the process of simplifying the algebraic expression (3w-8)-4(2w+3).
Step 1: Distributing
The first step is to distribute the -4 into the parentheses:
- (3w-8)-4(2w+3)
- 3w - 8 - 8w - 12
Step 2: Combining Like Terms
Now, we combine the 'w' terms and the constant terms:
- 3w - 8w - 8 - 12
- -5w - 20
Final Result
The simplified expression is -5w - 20.
Summary
To simplify the expression (3w-8)-4(2w+3), we followed these steps:
- Distributed the -4 into the parentheses.
- Combined the like terms.
This resulted in the simplified expression -5w - 20.
By understanding the steps involved in simplifying algebraic expressions, you can confidently tackle similar problems. Remember to always follow the order of operations and pay attention to the signs!