Question

complete the process of solving the equation. fill in the missing term and select the missing description. simplify any fractions. 6(p + 2) = -12 p + 2 = -2 p = subtract 2 from both sides

Explanation:

Step1: Identify the first operation

To get from \( 6(p + 2) = -12 \) to \( p + 2 = -2 \), we divide both sides of the equation by 6. This is the division property of equality (dividing both sides by the same non - zero number keeps the equation balanced). So the missing description for the step \( 6(p + 2)=-12
ightarrow p + 2=-2 \) is "Divide both sides by 6".

Step2: Solve for \( p \)

We have the equation \( p + 2=-2 \). Using the operation "Subtract 2 from both sides", we subtract 2 from each side: \( p+2 - 2=-2 - 2 \). Simplifying the left - hand side (the +2 and - 2 cancel out) and the right - hand side (\(-2-2=-4\)), we get \( p=-4 \).

Answer:

The missing description is "Divide both sides by 6" and the value of \( p \) is \(-4\).