How do you determine the value of n in the equation n + 4 = 3 + 3 + 2n + 3 + n?

To solve the equation n + 4 = 3 + 3 + 2n + 3 + n, we first need to simplify both sides. Let’s break it down step by step.

1. **Simplifying the Right Side:**
The right side consists of a few constants and terms with ‘n’. Start by adding the constants:

  • 3 + 3 = 6
  • 6 + 3 = 9

Now we can rewrite the right side of the equation:

n + 4 = 9 + 2n

2. **Rearranging the Equation:**
To solve for ‘n’, we need to isolate it on one side of the equation. Start by moving all terms involving ‘n’ to one side and constant terms to the other side:

  • Subtracting ‘n’ from both sides gives us:
  • 4 = 9 + n

3. **Isolating ‘n’:**
Now, subtract 9 from both sides:

  • 4 – 9 = n

So, we find:

-5 = n

4. **Conclusion:**
The value of n in the equation is:

n = -5

Make sure to double-check the solution by substituting ‘n’ back into the original equation to verify the correctness!

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