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Answer:

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Let's solve the equation step by step:

Let's assume the number is "x".

According to the problem statement, we can write the equation as:

8(x - 2) = 3(x + 3)

Now, let's solve for x:

Step 1: Distribute the 8 on the left side and the 3 on the right side:

8x - 16 = 3x + 9

Step 2: Move the variable terms to one side and the constant terms to the other side:

8x - 3x = 9 + 16

5x = 25

Step 3: Divide both sides of the equation by 5 to isolate x:

x = 25/5

x = 5

So the solution to the equation is x = 5.

Therefore, the number that satisfies the given equation is 5.

I hope this explanation helps you understand how to solve the given equation. If you have any further questions, feel free to ask!

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