Question

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Part 1
Simplify the expression.
6 left parenthesis 4 plus t right parenthesis minus 2 left parenthesis t plus 3 right parenthesis
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Part 1
6 left parenthesis 4 plus t right parenthesis minus 2 left parenthesis t plus 3 right parenthesisequals
  
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Answer 1

To simplify the expression \( 6(4 + t) - 2(t + 3) \), we will distribute the constants in front of the parentheses:

1. Distribute \( 6 \) in the first term:
\[
6(4 + t) = 6 \cdot 4 + 6 \cdot t = 24 + 6t
\]

2. Distribute \( -2 \) in the second term:
\[
-2(t + 3) = -2 \cdot t - 2 \cdot 3 = -2t - 6
\]

Now combine both distributions:
\[
24 + 6t - 2t - 6
\]

Combine like terms:
- Combine the constants: \( 24 - 6 = 18 \)
- Combine the terms with \( t \): \( 6t - 2t = 4t \)

So, the expression simplifies to:
\[
18 + 4t
\]

Thus, the final simplified expression is:
\[
\boxed{4t + 18}
\]