Question

complete the process of solving the equation. fill in the missing term and select the missing description. simplify any fractions. -2v - 20 = 8 -2v = 28 v = add 20 to both sides subtract 20 from both sides multiply both sides by 20 divide both sides by 20 apply the distributive property

Explanation:

Step1: Identify the operation for -2v = 28 to v

To solve for \( v \) in \( -2v = 28 \), we divide both sides by -2 (or equivalently, divide both sides by the coefficient of \( v \)). Wait, but let's check the previous step first. From \( -2v - 20 = 8 \) to \( -2v = 28 \), we added 20 to both sides (since \( -2v - 20 + 20 = 8 + 20 \) gives \( -2v = 28 \)). Now, for \( -2v = 28 \), to solve for \( v \), we divide both sides by -2. So \( v=\frac{28}{-2}=-14 \).

Step2: Solve for v

Given \( -2v = 28 \), divide both sides by -2: \( v=\frac{28}{-2}=-14 \).

Answer:

For the missing term (the operation to get from \( -2v - 20 = 8 \) to \( -2v = 28 \)): Add 20 to both sides. For the value of \( v \): \( v = -14 \)