Question
9, left parenthesis, minus, 7, t, plus, 4, t, minus, 10, right parenthesis, minus, 9, t9(â7t+4tâ10)â9t
Answers
GPT-4o mini
To simplify the expression \( 9(-7t + 4t - 10) - 9t \), we can start by distributing the \( 9 \) within the parentheses:
1. **Combine like terms inside the parentheses**:
\[
-7t + 4t = -3t
\]
So the expression becomes:
\[
9(-3t - 10) - 9t
\]
2. **Distribute the \( 9 \)**:
\[
9 \times -3t = -27t
\]
\[
9 \times -10 = -90
\]
Combining these gives:
\[
-27t - 90 - 9t
\]
3. **Combine like terms**:
\[
-27t - 9t = -36t
\]
Therefore, the expression simplifies to:
\[
-36t - 90
\]
Thus, the final simplified expression is:
\[
-36t - 90
\]
1. **Combine like terms inside the parentheses**:
\[
-7t + 4t = -3t
\]
So the expression becomes:
\[
9(-3t - 10) - 9t
\]
2. **Distribute the \( 9 \)**:
\[
9 \times -3t = -27t
\]
\[
9 \times -10 = -90
\]
Combining these gives:
\[
-27t - 90 - 9t
\]
3. **Combine like terms**:
\[
-27t - 9t = -36t
\]
Therefore, the expression simplifies to:
\[
-36t - 90
\]
Thus, the final simplified expression is:
\[
-36t - 90
\]