Math Problem Statement

Expand and simplify: 13 - 2(m + 7)

Solution

To expand and simplify the given expression:

132(m+7)13 - 2(m + 7)

Step 1: Distribute the 2-2 across the terms inside the parentheses.

132m2713 - 2m - 2 \cdot 7

=132m14= 13 - 2m - 14

Step 2: Combine like terms.

(1314)2m=12m(13 - 14) - 2m = -1 - 2m

Final Answer:

12m-1 - 2m

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:

  1. How do you expand expressions with multiple sets of parentheses?
  2. What happens when there are more terms inside the parentheses?
  3. How do you solve similar expressions with fractions?
  4. What if the expression contains exponents? How do you simplify it?
  5. Can you provide an example with more complex coefficients?

Tip: Always perform operations inside the parentheses first and carefully distribute negative signs to avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Distributive Property

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property of Multiplication over Addition

Suitable Grade Level

Grades 6-8