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 \( t = 5 \).