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The value of expression 5 n square + 5n - 2 for n is equal to minus 2?
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The value of expression 5 n square + 5n - 2 for n is equal to minus 2?
Step 1: Substitute the Value of n
To evaluate the expression \( 5n^2 + 5n - 2 \) for \( n = -2 \), we start by substituting \(-2\) into the expression:
  • Expression: \( 5(-2)^2 + 5(-2) - 2 \)



Step 2: Calculate Each Term
Now, we will calculate each term one by one.
  • First term: \( 5(-2)^2 = 5 \times 4 = 20 \)
  • Second term: \( 5(-2) = -10 \)
  • Third term: \( -2 \) remains as it is.



Step 3: Combine the Results
Next, we will combine all calculated terms:
  • Combine: \( 20 - 10 - 2 \)



Step 4: Final Calculation
Now, perform the final calculation step by step:
  • First, \( 20 - 10 = 10 \)
  • Then, \( 10 - 2 = 8 \)



Conclusion
The value of the expression \( 5n^2 + 5n - 2 \) when \( n = -2 \) is:
  • Result: 8


This detailed evaluation shows how to substitute and calculate the expression step by step, ensuring clarity in each part of the process.
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The value of expression 5 n square + 5n - 2 for n is equal to minus 2?
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