-2p - 4 = 2

Understand the Problem

The question is asking to solve the equation -2p - 4 = 2 for the variable p. This involves isolating p on one side of the equation through algebraic manipulation.

Answer

$p = -3$

Steps to Solve

Add 4 to both sides of the equation

To begin isolating $p$, we add 4 to both sides of the equation.

$$ -2p - 4 + 4 = 2 + 4 $$

This simplifies to:

$$ -2p = 6 $$

Divide both sides by -2

Next, to solve for $p$, we divide both sides of the equation by -2.

$$ p = \frac{6}{-2} $$

Simplify the fraction

Now we can simplify the fraction on the right side.

$$ p = -3 $$

The final answer is $p = -3$.

More Information

The solution indicates that the value of $p$ that satisfies the equation is -3. This means if you substitute -3 back into the original equation, both sides will be equal, confirming that it's the correct solution.

Tips

Confusing the signs when adding or subtracting: Always double-check operations with negative numbers.
Forgetting to divide both sides by the same number: This is crucial for maintaining the equality of the equation.

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