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To solve the equation 10n-3 = 37, the first thing we do is add 3 to both sides. This gives us 10n = 40. We then divide both sides by 10, yielding the result of n=4. To prove the equation, we plug in the number 4: 10 (4)-3 = 37, which gives us 40-3=37, which is 37=37, so 4 is the correct answer.

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