n + ( n  +  2 )  +  ( n  +  4 ) = 84 if n=32

Let's check if \( n = 32 \) satisfies the equation \( n + (n + 2) + (n + 4) = 84 \).

Substitute \( n = 32 \) into the equation:

\[
32 + (32 + 2) + (32 + 4) = 84
\]

Now, simplify each term:

\[
32 + 34 + 36 = 84
\]

Add the numbers together:

\[
102 = 84
\]

This statement is false, so \( n = 32 \) does not satisfy the equation. Therefore, \( n = 32 \) is not the correct solution.

Would you like to solve for the correct value of \( n \), or do you have any other questions?

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**Related Questions:**
1. How do you solve the equation \( n + (n + 2) + (n + 4) = 84 \) for \( n \)?
2. What steps are involved in checking if a value satisfies an equation?
3. Can an equation have more than one solution? Why or why not?
4. How can you verify your solution to an algebraic equation?
5. What are the methods to simplify algebraic expressions?

**Tip:** Always substitute your solution back into the original equation to verify its correctness.

Learn how to solve the linear equation n + (n + 2) + (n + 4) = 84 step-by-step. This problem involves basic algebraic concepts and equation solving methods. Suitable for students in Grades 7-9.

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