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The given equation is:

\[
6 = 3(t - 7)
\]

We need to solve for \( t \). Let's go through the steps:

### Step 1: Distribute the 3 on the right-hand side.

\[
6 = 3t - 21
\]

### Step 2: Add 21 to both sides to isolate the term with \( t \).

\[
6 + 21 = 3t
\]

\[
27 = 3t
\]

### Step 3: Divide both sides by 3 to solve for \( t \).

\[
t = \frac{27}{3}
\]

\[
t = 9
\]

Thus, the solution is:

\[
t = 9
\]

Would you like further details or have any questions about this solution?

Here are some related questions you might consider:

1. How would the solution change if the equation were \( 6 = 3(t - 5) \)?
2. What happens if the coefficient of \( t \) is a fraction instead of a whole number?
3. How can you check if your solution for \( t \) is correct?
4. How would you solve the equation if the variable were on both sides of the equation?
5. What is the effect of adding or subtracting a constant before solving the equation?

**Tip:** Always verify your solution by substituting it back into the original equation to ensure both sides are equal.

Learn how to solve the linear equation 6 = 3(t - 7) with a detailed step-by-step explanation. This problem introduces concepts like distribution and basic algebraic solving, suitable for students in Grades 7-8.

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