Let's solve the equation \((t - 12) \cdot 8 = 72\).

### Step 1: Simplify the equation
Divide both sides by 8 to eliminate the multiplication on the left side:
\[
\frac{(t - 12) \cdot 8}{8} = \frac{72}{8}
\]
This simplifies to:
\[
t - 12 = 9
\]

### Step 2: Solve for \(t\)
Now, add 12 to both sides to isolate \(t\):
\[
t - 12 + 12 = 9 + 12
\]
\[
t = 21
\]

### Final Answer:
The value of \(t\) is \(21\).

Do you want more details, or have any questions?

Here are 5 related questions to expand on this topic:
1. What if the original equation was \((t - 15) \cdot 6 = 72\)?
2. How would the solution change if the right-hand side were 100 instead of 72?
3. Can you solve for \(t\) if the equation is \(3(t - 12) = 72\)?
4. What happens if both sides of the equation were negative?
5. How would you solve \((t - 12) \cdot 8 = 64\) instead?

**Tip:** Always perform the inverse operation to isolate the variable step by step.

Learn how to solve the linear equation (t－12)・8=72 with a step-by-step solution. This problem demonstrates key algebraic techniques, including simplifying equations and using inverse operations to solve for a variable. Suitable for students in Grades 6-8.

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