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The given expression is:

\[
-7(5s - t) + 5t - 7(3t - 4s)
\]

### Step-by-step solution:

1. **Distribute the -7** in both terms:
   - First, distribute \(-7\) to \((5s - t)\):
     \[
     -7(5s - t) = -35s + 7t
     \]
   - Second, distribute \(-7\) to \((3t - 4s)\):
     \[
     -7(3t - 4s) = -21t + 28s
     \]

2. **Substitute these results into the original expression**:
   \[
   -35s + 7t + 5t - 21t + 28s
   \]

3. **Combine like terms**:
   - Combine terms with \(s\): \(-35s + 28s = -7s\)
   - Combine terms with \(t\): \(7t + 5t - 21t = -9t\)

4. **Final simplified expression**:
   \[
   -7s - 9t
   \]

### The simplified expression is:
\[
-7s - 9t
\]

Do you want further clarification or have any questions?

Here are 5 related questions for practice:
1. How would you simplify the expression \(-5(2x - 3) + 6x - 7(4x + 1)\)?
2. What is the result of distributing a constant over a binomial expression?
3. How can you factor the expression \(-7s - 9t\) further if needed?
4. How would the expression change if the constant 7 was replaced with a different number?
5. How do you handle combining like terms in more complex algebraic expressions?

**Tip:** Always start simplifying an expression by applying the distributive property and combining like terms systematically.

Simplify the expression -7(5s - t) + 5t - 7(3t - 4s) step-by-step using the distributive property and combining like terms. Learn key algebraic concepts suitable for Grades 8-10 students.

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