Question

Simplify the expression.
7(2 + t) - 4(t + 1)=

Answer 1

To simplify the expression \( 7(2 + t) - 4(t + 1) \), we will first distribute the numbers outside the parentheses.

1. Distribute \( 7 \) in the first part:
\[
7(2 + t) = 7 \cdot 2 + 7 \cdot t = 14 + 7t
\]

2. Distribute \( -4 \) in the second part:
\[
-4(t + 1) = -4 \cdot t - 4 \cdot 1 = -4t - 4
\]

Now, we can combine both parts together:
\[
14 + 7t - 4t - 4
\]

Next, combine the like terms. Start with the constant terms:
\[
14 - 4 = 10
\]

Now combine the \( t \) terms:
\[
7t - 4t = 3t
\]

Putting it all together, the simplified expression is:
\[
10 + 3t
\]

Thus, the final result is:
\[
\boxed{10 + 3t}
\]