Rewrite in simplest terms: minus, 7, left parenthesis, minus, 4, s, minus, 10, t, right parenthesis, minus, 4, t, minus, 5, left parenthesis, t, minus, 5, s, right parenthesis−7(−4s−10t)−4t−5(t−5s)

Here is the expression in its simplest form:

\[
-7(-4s - 10t) - 4t - 5(t - 5s)
\]

Step-by-step simplification:

1. Distribute \(-7\) to \(-4s - 10t\):
\[
28s + 70t
\]

2. Distribute \(-5\) to \((t - 5s)\):
\[
-5t + 25s
\]

Now the expression looks like:
\[
28s + 70t - 4t - 5t + 25s
\]

3. Combine like terms:
   - Combine the \(s\) terms: \(28s + 25s = 53s\)
   - Combine the \(t\) terms: \(70t - 4t - 5t = 61t\)

Final simplified expression:
\[
53s + 61t
\]

Would you like more details or any clarification? Here are five related questions to practice:

1. How do you simplify expressions involving distribution?
2. What is the role of combining like terms in simplification?
3. Can you solve \(5(3x - 4) - 7x + 2(6x + 1)\)?
4. How would you approach simplifying an expression with fractions?
5. How do parentheses affect the order of operations?

**Tip:** Always simplify inside parentheses first before distributing.

Rewrite in simplest terms: minus, 7, left parenthesis, minus, 4, s, minus, 10, t, right parenthesis, minus, 4, t, minus, 5, left parenthesis, t, minus, 5, s, right parenthesis −7(−4s−10t)−4t−5(t−5s)

Learn how to simplify the algebraic expression −7(−4s−10t)−4t−5(t−5s) step-by-step. This problem covers the distributive property and combining like terms. Suitable for students in Grades 8-10.

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