To solve the equation \( Z \times 2 - 12 = 4Z \), let's go through the steps one by one.

### Step-by-Step Solution

1. **Rewrite the equation:**

   The equation is given as:
   \[
   2Z - 12 = 4Z
   \]

2. **Move all terms involving \(Z\) to one side:**

   To isolate \(Z\), let's subtract \(2Z\) from both sides:
   \[
   2Z - 2Z - 12 = 4Z - 2Z
   \]

   This simplifies to:
   \[
   -12 = 2Z
   \]

3. **Solve for \(Z\):**

   Now, divide both sides by 2 to solve for \(Z\):
   \[
   Z = \frac{-12}{2}
   \]

   Simplifying this gives:
   \[
   Z = -6
   \]

### Solution

The solution to the equation \(2Z - 12 = 4Z\) is:
\[
Z = -6
\]

Would you like more details or have any questions?

### Related Questions

1. What would the solution be if the equation were \(3Z - 12 = 6Z + 2\)?
2. How do you solve a quadratic equation like \(Z^2 - 4Z - 12 = 0\)?
3. How would you graph the equation \(2Z - 12 = 4Z\) on a coordinate plane?
4. What are the steps to isolate \(Z\) in an equation with more variables, such as \(3Z - 4W = 12\)?
5. How do you check the solution to an equation to ensure it is correct?

### Tip

Always check your solution by substituting it back into the original equation to make sure it satisfies the equation.

Learn how to solve the equation Z*2-12=4z with a detailed step-by-step solution. This problem covers key algebraic concepts, including equations and variable isolation. Suitable for students in Grades 7-9.

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