Math Problem Statement

-2(3x + 4)

Solution

The image shows the distribution process of the expression 2(3x+4)-2(3x + 4).

Here’s a breakdown of the solution:

  1. Distribute 2-2 across the terms inside the parentheses:

    • Multiply 2-2 by 3x3x: 2×3x=6x-2 \times 3x = -6x.
    • Multiply 2-2 by 44: 2×4=8-2 \times 4 = -8.
  2. Combine the results:

    • Combine the two results to get: 6x8-6x - 8.

So, the simplified expression is 6x8-6x - 8, which matches the boxed answer in the image.

Would you like more details on any step, or do you have any other questions?

Here are 5 related questions you might find useful:

  1. How do you distribute a negative number across a binomial?
  2. What are the common mistakes to avoid when distributing negative numbers?
  3. How do you simplify expressions with multiple terms inside parentheses?
  4. What happens if there are more variables involved in a similar distribution?
  5. How can this distribution method be applied to solve equations?

Tip: Always be careful with signs when distributing negative numbers!

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplification of Expressions

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8