Rewrite in simplest terms: 2, left parenthesis, minus, 6, s, minus, 8, t, right parenthesis, minus, 10, t, minus, 2, left parenthesis, t, plus, 7, s, right parenthesis2(−6*s*−8*t*)−10*t*−2(*t*+7*s*)


Let's simplify the expression:

\[ 2(-6s - 8t) - 10t - 2(t + 7s) \]

### Step 1: Distribute the 2 to both terms inside the parentheses.
\[
2(-6s - 8t) = -12s - 16t
\]
\[
-2(t + 7s) = -2t - 14s
\]

### Step 2: Substitute the results back into the original expression.
\[
-12s - 16t - 10t - 2t - 14s
\]

### Step 3: Combine like terms:
- Combine the \( s \)-terms: \( -12s - 14s = -26s \)
- Combine the \( t \)-terms: \( -16t - 10t - 2t = -28t \)

### Final Simplified Expression:
\[
-26s - 28t
\]

This is the expression in its simplest form.

Do you need further details or explanations?

Here are 5 related questions:
1. How do you simplify \( 3(-4x - 5y) - 6y - 4(x + 2y) \)?
2. What is the simplest form of \( 4(-2a - 3b) - 5b - 3(a + b) \)?
3. How do you distribute and simplify \( 2(-7m + 9n) - 4n - 3(m + 8n) \)?
4. What is the result of simplifying \( -2(5p - 3q) - 4q - p \)?
5. How do you simplify \( 6(-x - 2y) - 5y - 3(x + y) \)?

**Tip**: When simplifying, watch out for signs during distribution to avoid mistakes with positive and negative terms.

Learn how to simplify the expression 2(-6s - 8t) - 10t - 2(t + 7s) step-by-step with clear explanations and examples. This problem covers algebraic concepts such as the distributive property and combining like terms, suitable for Grades 7-9 students.

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