Let's simplify the expression:

\[
\left( \frac{7}{m} - 6 \right) - \left( \frac{1}{m} \right)
\]

### Step 1: Combine the like terms.
The two fractions \(\frac{7}{m}\) and \(\frac{1}{m}\) have the same denominator \(m\), so they can be combined:

\[
\frac{7}{m} - \frac{1}{m} = \frac{7 - 1}{m} = \frac{6}{m}
\]

### Step 2: Rewrite the expression.
After combining the like terms, the expression becomes:

\[
\frac{6}{m} - 6
\]

This is the simplified form of the expression.

Do you need further clarification or a more detailed breakdown? Here are some related questions:

1. How can I solve equations with fractions?
2. What are common techniques for simplifying rational expressions?
3. How do you factor expressions with fractions?
4. How do I handle variables in the denominator when simplifying?
5. How do you rationalize complex expressions?

**Tip:** When combining fractions, always make sure the denominators are the same before adding or subtracting!

Simplify the algebraic expression (7/m - 6) - (1/m) by combining like terms with a common denominator. This problem covers key algebraic concepts, including fraction manipulation and simplification techniques. Suitable for students in Grades 6-8.

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