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Solve the linear equations. n/2 - (3 n)/...

Solve the linear equations. `n/2 - (3 n)/4 + (5 n)/6 = 21`

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To solve the linear equation \( \frac{n}{2} - \frac{3n}{4} + \frac{5n}{6} = 21 \), we will follow these steps: ### Step 1: Find the LCM of the denominators The denominators in the equation are 2, 4, and 6. We need to find the least common multiple (LCM) of these numbers. - The prime factorization of 2 is \( 2^1 \). - The prime factorization of 4 is \( 2^2 \). - The prime factorization of 6 is \( 2^1 \times 3^1 \). ...
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