Math Problem Statement

−10(9v−4)+10v

Solution

Let's solve the expression:

10(9v4)+10v-10(9v - 4) + 10v

Step-by-Step Solution:

  1. Distribute 10-10 to both terms inside the parentheses:

109v=90v-10 \cdot 9v = -90v 10(4)=40-10 \cdot (-4) = 40

This simplifies the expression to:

90v+40+10v-90v + 40 + 10v

  1. Combine like terms (90v-90v and 10v10v):

90v+10v=80v-90v + 10v = -80v

So the expression becomes:

80v+40-80v + 40

Final Answer:

80v+40-80v + 40

Would you like more details on this? Here are some related questions:

  1. How do you handle distribution with negative numbers in parentheses?
  2. Can you give examples where combining like terms involves more variables?
  3. How would you solve if the equation was set equal to zero?
  4. What happens when you have more than two terms to combine?
  5. Can we factor the final expression further?

Tip: Always be careful with negative signs when distributing across parentheses!

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Combining Like Terms

Formulas

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

Theorems

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Suitable Grade Level

Grades 6-8