(3w-8)-4(2w+3)

less than a minute read Jun 16, 2024
(3w-8)-4(2w+3)

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:

  1. Distributed the -4 into the parentheses.
  2. 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!

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