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Answer:

the nephew is 6.

Step-by-step explanation:

4n+8=32

n=6

Answer:

6 years old

Step-by-step explanation:

We can create an equation for Logan's age using the given information. Let's set the age of Logan's nephew to be x. The expression for Logan's age will look like:

  • Logan = 4x + 8

This expression tells us that Logan is 4 times the age of his nephew, plus 8 years.

Now, we are given Logan's actual age: 32. We can substitute this value into "Logan" in our equation for Logan's age.

  • 32 = 4x + 8

To finalize this problem we will solve for "x" to find the age of Logan's nephew.

Subtract 8 from both sides of the equation.

  • 24 = 4x

Divide both sides of the equation by 4.

  • 6 = x
  • x = 6

Therefore, we know that Logan's nephew is 6 years old.

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