Math Problem Statement

Simplify the algebraic expression 9m - 5n + 14 + m - 2n - 7.

Solution

The expression in the image is:

9m5n+14+m2n79m - 5n + 14 + m - 2n - 7

Let's simplify it step by step:

  1. Combine like terms involving mm: 9m+m=10m9m + m = 10m

  2. Combine like terms involving nn: 5n2n=7n-5n - 2n = -7n

  3. Combine the constants: 147=714 - 7 = 7

Now, putting everything together, the simplified expression is:

10m7n+710m - 7n + 7

Would you like any additional explanations or further steps on this? Here are some related questions:

  1. How would you simplify expressions involving more variables?
  2. How do constants affect the behavior of linear equations?
  3. Can you combine unlike terms in algebraic expressions?
  4. How do you factor expressions like this one?
  5. How would this expression change if one variable were given a value?

Tip: Always group similar terms together when simplifying to avoid mistakes.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Like Terms

Formulas

Combine like terms: a + a = 2a, and b - b = 0

Theorems

-

Suitable Grade Level

Grade 6-8