Let's solve the equation \(-8 = -2(t - 4)\) for \(t\).

### Step 1: Distribute the \(-2\) on the right-hand side.
\[
-8 = -2t + 8
\]

### Step 2: Move the constant term (\(8\)) from the right side to the left side by subtracting 8 from both sides.
\[
-8 - 8 = -2t
\]
\[
-16 = -2t
\]

### Step 3: Solve for \(t\) by dividing both sides by \(-2\).
\[
t = \frac{-16}{-2}
\]
\[
t = 8
\]

So, the solution is \(t = 8\).

Would you like more details, or do you have any questions? Here are some related problems to practice:

1. Solve the equation \(5 = 3(x - 2)\).
2. Solve for \(y\) in the equation \(7 - y = 2(y + 3)\).
3. Simplify and solve \(4 = -2(a + 6)\).
4. Solve for \(z\) in the equation \(6z + 12 = 0\).
5. Rearrange and solve \(10 = -2(b - 5)\).

**Tip:** Always distribute and combine like terms before isolating the variable to simplify the solving process.

Learn how to solve the equation -8 = -2(t - 4) step-by-step with a detailed solution. This problem involves equations, the distributive property, and solving linear equations. Suitable for students in Grades 7-9.

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