If 2 ( 3 t - 10 ) + t = 40 + 4 t ,

The correct answer is $60$. Subtracting $t$ from both sides of the given equation yields $2(3t-10)=40+3t$. Applying the distributive property to the left-hand side of this equation yields $6t-20=40+3t$. Adding $20$ to both sides of this equation yields $6t=60+3t$. Subtracting $3t$ from both sides of this equation yields $3t=60$. Therefore, the value of $3t$ is $60$.