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Answer
Solution
To solve the equation:
Step 1: Eliminate the Denominators
First, identify the least common denominator (LCD) of the fractions involved, which is
. Multiply every term in the equation by
to eliminate the denominators:
Step 2: Simplify Each Term
Step 3: Solve for
Subtract 15 from both sides to isolate
:
Step 4: Verify the Solution
Ensure that
does not make any denominator zero:
Since neither denominator is zero,
is a valid solution.
Final Answer:
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Extra Insights
To solve the equation
, we first find a common denominator, which is
. This allows us to rewrite the equation as:
Now, we combine the terms on the right side:
Since the denominators are the same, we can equate the numerators:
To isolate
, subtract 15 from both sides:
Thus,
The solution to the equation is
.