algebraic simplify the expression 8(3-m)+1(-8)

To simplify the expression \(8(3 - m) + 1(-8)\), follow these steps:

1. **Distribute** the constants across the terms inside the parentheses:
   \[
   8(3) - 8(m) + 1(-8)
   \]
   This simplifies to:
   \[
   24 - 8m - 8
   \]

2. **Combine like terms**:
   - The constant terms are \(24\) and \(-8\):
     \[
     24 - 8 = 16
     \]
   - The variable term remains \(-8m\).

3. The simplified expression is:
   \[
   16 - 8m
   \]

So, the simplified expression is \( \boxed{16 - 8m} \).

Would you like to know more details about any specific step, or do you have any questions?

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Here are some related questions you might find helpful:
1. How do you simplify expressions with more than one variable?
2. What are the rules for distributing negative numbers in algebraic expressions?
3. How can you factor the expression \(16 - 8m\)?
4. How do you solve equations derived from such simplified expressions?
5. What are the common mistakes to avoid when simplifying algebraic expressions?

**Tip:** Always distribute multiplication over addition or subtraction before combining like terms in an algebraic expression.

Learn how to simplify the expression 8(3 - m) + 1(-8) step-by-step with detailed explanations. This problem involves distributing constants across terms, combining like terms, and applying basic algebraic rules. Suitable for students in Grades 7-9.

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