Let's solve the expression step by step:

Given expression: 
\[ 27 - 3(9) + 1 \]

1. **First, perform the multiplication:**
   \[ 3 \times 9 = 27 \]
   
   Now, the expression becomes:
   \[ 27 - 27 + 1 \]

2. **Next, perform the subtraction:**
   \[ 27 - 27 = 0 \]

3. **Finally, add 1:**
   \[ 0 + 1 = 1 \]

So, the final answer is:
\[ \boxed{1} \]

Would you like more details or have any questions?

Here are 8 related questions you might find interesting:
1. How does the order of operations affect the outcome of this expression?
2. What is the difference between multiplication and addition in terms of order of operations?
3. Can you provide another example where the order of operations changes the result?
4. What would happen if the subtraction and multiplication were swapped in this expression?
5. How can parentheses influence the outcome of a mathematical expression?
6. How would you solve an expression with multiple operations of the same precedence?
7. What is the distributive property, and how does it apply to this problem?
8. Can this expression be solved using a different method, such as factoring?

**Tip:** Always remember PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)) when solving expressions.

Learn how to solve the arithmetic expression 27 - 3(9) + 1 with a detailed step-by-step solution. This problem covers key concepts including order of operations, arithmetic operations, and the impact of parentheses on mathematical calculations. Suitable for students in Grades 6-8.

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