Final answer:
When both sides of the equation 2p = 8 are divided by -2, the equation remains unchanged and becomes -p = -4.
Step-by-step explanation:
When both sides of the equation 2p = 8 are divided by -2, the equation remains unchanged. Dividing by -2 is the same as multiplying by -1/2, so we can rewrite the equation as -1/2 * 2p = -1/2 * 8. Simplifying further, we get -p = -4.
When the both sides of the equation 2p = 8 are divided by -2, the equation becomes p = -4. Division by a negative number will change the sign of the result.
It's important to understand that multiplication and division by the same non-zero number on both sides of an equation keeps the equation balanced. If we apply this understanding to the given equation, dividing both sides by -2 results in p = -4.
This follows the rule that when a number is divided by another number, it follows multiplication rules for the sign - in this case, a positive number divided by a negative number gives a negative result.