Solve the following equation for n:
n/4 - 5/6 = 5/12

To solve the equation:

\[
\frac{n}{4} - \frac{5}{6} = \frac{5}{12}
\]

we can follow these steps:

### Step 1: Eliminate the fractions by finding a common denominator
The common denominator of 4, 6, and 12 is 12. We will multiply every term of the equation by 12 to eliminate the fractions.

\[
12 \times \left(\frac{n}{4}\right) - 12 \times \left(\frac{5}{6}\right) = 12 \times \left(\frac{5}{12}\right)
\]

This simplifies to:

\[
3n - 10 = 5
\]

### Step 2: Solve for \(n\)
Now, solve for \(n\):

\[
3n - 10 = 5
\]

Add 10 to both sides:

\[
3n = 15
\]

Now, divide by 3:

\[
n = 5
\]

### Final Answer:
\[
n = 5
\]

Would you like more details on any of these steps or have any questions?

Here are 5 related questions you can try:

1. Solve \(\frac{n}{5} - \frac{3}{4} = \frac{7}{10}\).
2. Solve for \(x\) in \(\frac{x}{3} + \frac{4}{5} = \frac{7}{15}\).
3. Solve \(2n - 5 = \frac{n}{3} + 1\).
4. Solve \(\frac{2x}{3} - \frac{x}{4} = \frac{1}{2}\).
5. Solve \(\frac{n}{6} + \frac{7}{12} = 2\).

**Tip:** When dealing with fractions, clearing them by multiplying through by the least common denominator is often a useful strategy!

Solve the following equation for n: n/4 - 5/6 = 5/12

Learn how to solve the linear equation n/4 - 5/6 = 5/12. This guide covers key algebraic concepts, including solving fractions and finding common denominators. Suitable for students in Grades 6-8.

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