Question

Rewrite in simplest terms: 9, left parenthesis, minus, 7, t, plus, 4, t, minus, 10, right parenthesis, minus, 9, t9(−7t+4t−10)−9t

Answer 1

To simplify the expression \( 9(-7t + 4t - 10) - 9t \), follow these steps:

1. Simplify inside the parentheses:
\[
-7t + 4t = -3t
\]
So, the expression becomes:
\[
9(-3t - 10) - 9t
\]

2. Distribute the \( 9 \):
\[
9 \cdot -3t + 9 \cdot -10 = -27t - 90
\]
Now the expression is:
\[
-27t - 90 - 9t
\]

3. Combine like terms (combine \( -27t \) and \( -9t \)):
\[
-27t - 9t = -36t
\]
So, the expression simplifies to:
\[
-36t - 90
\]

Thus, the simplified expression is:
\[
-36t - 90
\]