what is 7(4 + t) - 3(t + 3)

3 answers

To simplify the expression \( 7(4 + t) - 3(t + 3) \), follow these steps:

  1. Distribute \( 7 \) in the first term: \[ 7(4) + 7(t) = 28 + 7t \]

  2. Distribute \( -3 \) in the second term: \[ -3(t) - 3(3) = -3t - 9 \]

  3. Combine the results from steps 1 and 2: \[ 28 + 7t - 3t - 9 \]

  4. Combine like terms:

    • The constant terms: \( 28 - 9 = 19 \)
    • The \( t \) terms: \( 7t - 3t = 4t \)

Putting it all together, the expression simplifies to: \[ 19 + 4t \]

So, the final answer is: \[ \boxed{4t + 19} \]

in parenthesis?

Certainly! If you want the final answer in parentheses, it can be expressed as:

\[ \boxed{4t + 19} \quad \text{or} \quad \boxed{(4t + 19)} \]

Using parentheses gives you a clear grouped term as requested!