Math Problem Statement

Simplify 2(v + 4) - 6v

Solution

The expression in the image is:

2(v+4)6v2(v + 4) - 6v

Steps to simplify:

  1. Distribute the 2 across the terms inside the parentheses: 2(v+4)=2v+82(v + 4) = 2v + 8

  2. The expression becomes: 2v+86v2v + 8 - 6v

  3. Combine like terms: (2v6v)+8=4v+8(2v - 6v) + 8 = -4v + 8

Final simplified expression:

4v+8-4v + 8

Let me know if you need further details or have any questions!

Here are 5 related questions:

  1. How do you distribute a number across parentheses?
  2. What are "like terms" and why do we combine them?
  3. Can you explain why the sign of 6v6v remains negative?
  4. How would the expression change if it were 2(v4)6v2(v-4) - 6v?
  5. How do you handle more complex expressions with multiple parentheses?

Tip: Always handle distribution before combining like terms to avoid mistakes in simplification.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Combining Like Terms

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8