Let's solve the expression step by step:

The given expression is:

\[
-10(2g - 7) + 6g
\]

### Step 1: Distribute \(-10\) across the terms inside the parentheses.

\[
-10(2g - 7) = (-10 \times 2g) + (-10 \times -7)
\]
\[
= -20g + 70
\]

### Step 2: Substitute this result back into the expression.

\[
-20g + 70 + 6g
\]

### Step 3: Combine like terms.

\[
-20g + 6g = -14g
\]

Now, the expression becomes:

\[
-14g + 70
\]

So, the simplified form of the expression is:

\[
-14g + 70
\]

Do you have any questions or need further details?

Here are 5 related questions:
1. How would you solve a similar expression with different constants?
2. What are the key steps to remember when distributing negative numbers?
3. How do you factor expressions like \(-14g + 70\)?
4. How does combining like terms help in simplifying expressions?
5. How would the solution change if the variable \(g\) had a specific value?

**Tip:** Always distribute negative signs carefully, as it's easy to make mistakes when multiplying signs!

Learn how to simplify the expression -10(2g - 7) + 6g with a detailed step-by-step solution. This problem covers key algebraic concepts, including the distributive property and combining like terms. 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