Final answer:
To solve the equation 16-2t=t+9+4t, combine like terms, isolate the variable t, and solve for t. The solution is t = 1.
Step-by-step explanation:
To solve the equation 16-2t=t+9+4t, we can start by combining like terms on both sides of the equation. Rearranging the equation, we get 16-2t=5t+9. Next, we can add 2t to both sides of the equation to isolate the variable t. This gives us 16=7t+9. Subtracting 9 from both sides, we have 7=7t. Finally, dividing both sides by 7, we find that t=1.