Math Problem Statement

−10(2g−7)+6g

Solution

Let's solve the expression step by step:

The given expression is:

10(2g7)+6g-10(2g - 7) + 6g

Step 1: Distribute 10-10 across the terms inside the parentheses.

10(2g7)=(10×2g)+(10×7)-10(2g - 7) = (-10 \times 2g) + (-10 \times -7) =20g+70= -20g + 70

Step 2: Substitute this result back into the expression.

20g+70+6g-20g + 70 + 6g

Step 3: Combine like terms.

20g+6g=14g-20g + 6g = -14g

Now, the expression becomes:

14g+70-14g + 70

So, the simplified form of the expression is:

14g+70-14g + 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+70-14g + 70?
  4. How does combining like terms help in simplifying expressions?
  5. How would the solution change if the variable gg had a specific value?

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

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Distributive Property
Combining Like Terms

Formulas

Distributive Property: a(b + c) = ab + ac
Combining Like Terms

Theorems

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Suitable Grade Level

Grades 7-9