What is the value of t in the equation 32t – 5 = 5t + 25?

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To solve for t in the equation 32t – 5 = 5t + 25, we will follow these steps:

  1. Isolate the variable terms on one side: First, we can move the 5t term from the right side to the left side. To do this, we subtract 5t from both sides:
    2.     32t - 5 - 5t = 25
  2. This simplifies to:
    3.     27t - 5 = 25
  3. Add 5 to both sides: Next, we eliminate the -5 from the left side by adding 5 to both sides:
    4.     27t - 5 + 5 = 25 + 5
  4. This results in:
    5.     27t = 30
  5. Divide both sides by 27: Now, we solve for t by dividing both sides of the equation by 27:
    6.     t = 30 / 27
  6. This simplifies to:
    7.     t = 10 / 9

Thus, the value of t is 10/9 or approximately 1.11.

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