College

Find the value of \( n \).

\[ 10n + 218 = 9n + 152 \]

Show your work here:

\[ 10n + 218 = 9n + 152 \]

Answer :

Final answer:

To find the value of n, set the two expressions equal to each other and solve for n. The value of n is -66.


Explanation:

To find the value of n, we can set the two given expressions equal to each other and solve for n.



  1. Step 1: Set up the equation:

  2. (10n + 218) = (9n + 152)
  3. Step 2: Simplify the equation:

  4. 10n + 218 = 9n + 152
  5. Step 3: Subtract 9n from both sides:

  6. 10n - 9n + 218 = 9n - 9n + 152
  7. n + 218 = 152
  8. Step 4: Subtract 218 from both sides:

  9. n + 218 - 218 = 152 - 218
  10. n = -66

The value of n is -66.


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