Let's simplify the expression step by step:

Given:
\[
2(t + 1) + 3(4t + 3)
\]

1. Distribute the terms:
   \[
   2(t) + 2(1) + 3(4t) + 3(3) = 2t + 2 + 12t + 9
   \]

2. Combine like terms:
   \[
   (2t + 12t) + (2 + 9) = 14t + 11
   \]

The simplified expression is:
\[
14t + 11
\]

Would you like more details or have any questions?

Here are some related questions for further practice:
1. Simplify \(3(x + 2) + 4(2x + 5)\).
2. Expand and simplify \(5(a + 3) + 2(4a - 1)\).
3. What is the result of \(6(m + 2) + 7(m - 3)\)?
4. Solve \(2(t - 3) + 4(3t + 1)\).
5. Expand \(4(2x + 1) + 3(3x + 2)\).

**Tip:** When simplifying expressions, always perform distribution first, then combine like terms.

Simplify the algebraic expression 2(t + 1) + 3(4t + 3) using distribution and combining like terms. This problem explains step-by-step how to apply the distributive property and simplify expressions, suitable for Grades 6-8.

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