Question
Rewrite in simplest terms: \( -7(-3 t+5)+4 t \)
Ask by Graham Ingram. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The simplified form is \(25t - 35\).
Solution
To simplify the expression \( -7(-3 t + 5) + 4 t \), follow these steps:
1. **Distribute the \(-7\) across the parentheses:**
\[
-7(-3t) + (-7)(5) = 21t - 35
\]
2. **Add the remaining \(4t\) to the result:**
\[
21t - 35 + 4t = 25t - 35
\]
So, the simplified form of the expression is:
\[
25t - 35
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To simplify the expression, start by distributing \(-7\) across \(-3t + 5\). This gives you \(21t - 35\). Then, add \(4t\) to this result: \[ 21t - 35 + 4t = 25t - 35. \] So, the simplified expression is \(25t - 35\).
