Math Problem Statement

-2(3m + 9) = ___

Solution

The equation provided in the image is:

2(3m+9)-2(3m + 9)

Let's simplify this step-by-step:

  1. Apply the distributive property by multiplying 2-2 by each term inside the parentheses: 2(3m+9)=(2×3m)+(2×9)-2(3m + 9) = (-2 \times 3m) + (-2 \times 9)

  2. Perform the multiplications: (2×3m)=6m(-2 \times 3m) = -6m (2×9)=18(-2 \times 9) = -18

Thus, the simplified expression is: 6m18-6m - 18

Would you like more details on this process or have any questions?

Here are five related questions you might explore:

  1. How would you solve the equation if there were additional terms on the right side?
  2. What happens if you add a constant to both sides of the equation?
  3. How do you handle equations with multiple parentheses?
  4. What are the steps for solving for mm in a similar equation?
  5. How does the distributive property work with negative numbers?

Tip: When using the distributive property, be careful with signs, especially when dealing with negative numbers!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

a(b + c) = ab + ac

Theorems

-

Suitable Grade Level

Grades 7-9