How do you solve #(a+3)/a-6/(5a)=1/a#?
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To solve the equation (a+3)/a - 6/(5a) = 1/a, we can follow these steps:
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Simplify the equation by finding a common denominator for the fractions. The common denominator is 5a.
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Multiply each term by the common denominator to eliminate the fractions.
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Distribute the denominator to each term in the numerators.
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Simplify the equation by combining like terms.
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Solve for 'a' by isolating it on one side of the equation.
Here are the steps in detail:
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The equation is: (a+3)/a - 6/(5a) = 1/a
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Multiply each term by the common denominator, 5a: 5a * (a+3)/a - 5a * 6/(5a) = 5a * 1/a
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Distribute the denominator to each term in the numerators: (5a(a+3))/a - (5a * 6)/(5a) = 5a/a
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Simplify the equation by canceling out common factors: 5(a+3) - 6 = 5
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Expand and simplify: 5a + 15 - 6 = 5
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Combine like terms: 5a + 9 = 5
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Isolate 'a' by subtracting 9 from both sides: 5a = 5 - 9
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Simplify: 5a = -4
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Solve for 'a' by dividing both sides by 5: a = -4/5
Therefore, the solution to the equation is a = -4/5.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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