7+2(3t-3)=4t+11

To solve the equation \( 7 + 2(3t - 3) = 4t + 11 \), follow these steps:

1. Distribute the 2 on the left side:

   \[ 7 + 6t - 6 = 4t + 11 \]

2. Combine like terms on the left side:

   \[ 6t + 1 = 4t + 11 \]

3. Now, isolate the variable \( t \) by subtracting \( 4t \) from both sides:

   \[ 6t - 4t + 1 = 11 \]

   Which simplifies to:

   \[ 2t + 1 = 11 \]

4. Next, subtract 1 from both sides:

   \[ 2t = 10 \]

5. Finally, divide both sides by 2:

   \[ t = 5 \]

The solution is \( t = 5 \).