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What is the solution for the equation -17 = 1/5n - 20?

A. n = -15
B. n = 15
C. n = -85
D. n = 85

1 Answer

3 votes

Final answer:

The solution to the equation -17 = 1/5n - 20 is accomplished by isolating n and solving, resulting in n = 15.

Step-by-step explanation:

The solution to the equation −17 = 1/5n - 20 is found as follows:

  1. Add 20 to both sides of the equation to isolate the term with n on one side:−17 + 20 = 1/5n - 20 + 20
  2. Simplify both sides: 3 = 1/5n
  3. Multiply both sides by 5 to solve for n: 5 × 3 = 5 × 1/5n
  4. Simplify both sides: 15 = n

The solution is n = 15, which corresponds to option B.

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