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The lengths of the sides of a triangle are 2a + 3, a - 2, and 3a. Write a simplified expression for the perimeter of the triangle

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Answer: The perimeter of a triangle is the sum of the lengths of its three sides. Thus, the perimeter of the triangle with sides of length 2a + 3, a - 2, and 3a can be expressed as:

Perimeter = (2a + 3) + (a - 2) + (3a)

Simplifying this expression, we can combine like terms:

Perimeter = 6a + 1

Therefore, the simplified expression for the perimeter of the triangle is 6a + 1.

Explanation:

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