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The sum of the reciprocal of a number and the reciprocal of 6 less than the number is 7 times the reciprical of the original number. Find the original number.

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Suppose that a certain radioactive substance has a half-life of 50 years. If there are presently 7,500 grams of the substance, how much will remain after 32 years? Express your answer to the nearest gram.

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When solving a linear equation in one variable, the objective is to isolate the variable on one side of the equation. What does that mean?

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