\"\"

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Let x be the earned amount in dollars per one hour.

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The earned amount in 2.5 hours is 2.5x dollars.

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The amount spend on supplies is 15 dollars.

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The amount of goal is 100 dollars.

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Therefore, the above situation represent the equation is \"\".\"\"

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Solve the equation \"\" for x.

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Add 15 to each side.

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\"\"

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\"\"

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Divide each side by 2.5.

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\"\"

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Cancel common terms.

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\"\".\"\"

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The amount earned per one hour is 46 dollars.