Math Problem Statement

–5(8 − 2p)

Solution

Let's simplify the expression:
5(82p)-5(8 - 2p)

  1. Distribute the 5-5 to both terms inside the parentheses: 5×8+(5)×(2p)-5 \times 8 + (-5) \times (-2p) This gives: 40+10p-40 + 10p

So, the simplified expression is: 40+10p-40 + 10p

Would you like further explanation or have any questions on this? Here are a few related questions for you:

  1. How would you solve for pp if the equation was 40+10p=0-40 + 10p = 0?
  2. How do you simplify expressions with multiple variables inside parentheses?
  3. What happens if the distribution is done with a positive number, like +5(82p)+5(8 - 2p)?
  4. How do you solve equations that involve distributing negative constants?
  5. Can this expression be factored further? If so, how?

Tip: Remember, when distributing a negative number, you must apply the negative sign to both terms inside the parentheses.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplification

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property

Suitable Grade Level

Grades 7-9