Rewrite in simplest terms: minus, 5, left parenthesis, minus, 3, k, minus, 2, m, right parenthesis, plus, 8, m, minus, 3, left parenthesis, 2, m, plus, 3, k, right parenthesis−5(−3*k*−2*m*)+8*m*−3(2*m*+3*k*)

Let's simplify the expression step by step.

Given expression:
\[
-5(-3k - 2m) + 8m - 3(2m + 3k)
\]

### Step 1: Distribute the coefficients inside the parentheses

- For \( -5(-3k - 2m) \):

\[
-5 \times -3k = 15k
\]
\[
-5 \times -2m = 10m
\]

So, \( -5(-3k - 2m) = 15k + 10m \).

- For \( -3(2m + 3k) \):

\[
-3 \times 2m = -6m
\]
\[
-3 \times 3k = -9k
\]

So, \( -3(2m + 3k) = -6m - 9k \).

### Step 2: Substitute back into the expression and combine like terms

\[
15k + 10m + 8m - 6m - 9k
\]

Now, combine the like terms:

- Combine the \( k \) terms: \( 15k - 9k = 6k \)
- Combine the \( m \) terms: \( 10m + 8m - 6m = 12m \)

### Final Simplified Expression

\[
6k + 12m
\]

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

Here are 5 related questions to consider:

1. How would you simplify an expression like \( -7(a - 2b + 3c) \)?
2. What is the process to distribute and combine like terms in a polynomial?
3. How do you factor out the greatest common factor from an expression?
4. Can you explain how to simplify an expression with multiple distribution steps?
5. What happens when you distribute a negative sign across parentheses?

**Tip:** Always distribute carefully, especially when negative signs are involved, to avoid common mistakes in sign changes.

Learn how to simplify the expression -5(-3k - 2m) + 8m - 3(2m + 3k) step-by-step. This problem involves applying the distributive property and combining like terms in algebraic expressions. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation