To find the value of t in the equation 32t + 5 = 5t + 25, we need to rearrange the equation and isolate t.
First, we can start by subtracting 5t from both sides:
32t + 5 - 5t = 5t + 25 - 5t
This simplifies to:
27t + 5 = 25
Next, we subtract 5 from both sides:
27t + 5 - 5 = 25 - 5
Which gives us:
27t = 20
Now, we can divide both sides by 27 to solve for t:
t = 20 / 27
Thus, the value of t is:
t ≈ 0.7407
This result shows that t is approximately 0.7407, meaning that the equation holds true when substituting this value back into the original equation. This systematic approach of isolating the variable allows us to find its value clearly and effectively.