Math Problem Statement

Rewrite in simplest terms: minus, left parenthesis, minus, 9, q, minus, q, plus, 3, right parenthesis, minus, 10, q−(−9q−q+3)−10q

Solution

To simplify the expression:
q(9qq+3)10q-q - (-9q - q + 3) - 10q

  1. Start by simplifying the part inside the parentheses:
    9qq+3=10q+3-9q - q + 3 = -10q + 3

  2. Substitute this back into the expression:
    q(10q+3)10q-q - (-10q + 3) - 10q

  3. Remove the parentheses by distributing the negative sign:
    q+10q310q-q + 10q - 3 - 10q

  4. Now combine like terms:
    q+10q10q=q-q + 10q - 10q = -q

So the simplified expression is:
q3-q - 3

Would you like further explanation or have any questions?

Here are 5 related questions:

  1. How do you distribute a negative sign across parentheses?
  2. What are like terms in an algebraic expression?
  3. How do you simplify expressions with multiple variables?
  4. What happens when you combine terms with opposite signs?
  5. Can you simplify expressions with fractions in a similar way?

Tip: Always simplify inside parentheses first before distributing!

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Expressions
Like Terms
Distributive Property

Formulas

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

Theorems

Combining Like Terms
Distributive Property

Suitable Grade Level

Grades 7-9