Let's solve the expression:

\[
-7(5 - r) + 6
\]

### Step 1: Distribute the \(-7\) to both terms inside the parentheses.
\[
-7 \times 5 = -35 \quad \text{and} \quad -7 \times (-r) = 7r
\]
So, the expression becomes:
\[
-35 + 7r + 6
\]

### Step 2: Combine the constant terms \(-35\) and \(6\).
\[
-35 + 6 = -29
\]
Thus, the final expression is:
\[
7r - 29
\]

### Final Answer:
\[
7r - 29
\]

Do you need more details or have any questions?

Here are 5 related questions to expand on this topic:
1. How do you solve multi-step algebraic equations involving distribution?
2. What is the distributive property, and how is it applied in algebra?
3. How do you simplify expressions with negative numbers?
4. Can you solve the equation if the expression is set equal to a value, like \(7r - 29 = 0\)?
5. What is the difference between simplifying an expression and solving an equation?

**Tip:** Always distribute carefully, keeping track of negative signs to avoid mistakes.

Learn how to simplify the algebraic expression -7(5 - r) + 6 using the distributive property. This step-by-step solution covers key algebraic concepts and is suitable for students in Grades 6-8.

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