Final answer:
To solve for t in the equation 14.2t - 25.2 = 3.8t + 26.8, all like terms must be isolated on one side, resulting in t = 5.
Step-by-step explanation:
The equation given is 14.2t - 25.2 = 3.8t + 26.8. To solve for t, we bring all terms involving t to one side and constants to the other side of the equation. Subtracting 3.8t from both sides, we get 10.4t - 25.2 = 26.8. Adding 25.2 to both sides gives us 10.4t = 52. Finally, dividing by 10.4, we find that t = 5. This is the value of t that satisfies the original equation.