Let's solve the equation \(-2(2x + y) = 28\).

### Step 1: Distribute the \(-2\) to both terms inside the parentheses:
\[
-2(2x + y) = -2 \cdot 2x - 2 \cdot y = -4x - 2y
\]
So, the equation becomes:
\[
-4x - 2y = 28
\]

### Step 2: Divide the entire equation by \(-2\) to simplify:
\[
\frac{-4x - 2y}{-2} = \frac{28}{-2}
\]
This simplifies to:
\[
2x + y = -14
\]

### Final Answer:
The simplified equation is:
\[
2x + y = -14
\]

Would you like further explanation, or would you like to solve for a specific variable?

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Here are 5 related questions:
1. How would you solve for \(x\) in terms of \(y\)?
2. How can we graph the equation \(2x + y = -14\)?
3. What happens if we substitute specific values for \(x\) and \(y\)?
4. How does this equation relate to a system of equations?
5. What is the slope of the line represented by \(2x + y = -14\)?

**Tip:** Always check for common factors in an equation to simplify before solving.

Explore the step-by-step process of solving the linear equation -2(2x + y) = 28. Learn about key algebraic concepts like the distributive property and linear equation simplification. This problem is suitable for students in Grades 8-10.

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