Complete the process of solving the equation.

Fill in all missing terms and select all missing descriptions. Simplify any fractions.
2(v+6)=12
v+6=
Add 2 to both sides
Subtract 2 from both sides
Multiply both sides by 2
Divide both sides by 2
Combine like terms
v=

1 answer

To solve the equation \( 2(v + 6) = 12 \), let's go through each step, filling in missing terms and descriptions:

  1. Start with the equation: \[ 2(v + 6) = 12 \]

  2. Divide both sides by 2 (this simplifies the equation): \[ v + 6 = \frac{12}{2} \] Simplifying the right side: \[ v + 6 = 6 \]

  3. Now, to isolate \( v \), we subtract 6 from both sides: \[ v = 6 - 6 \] Simplifying gives: \[ v = 0 \]

Now, let's summarize the missing terms/descriptions:

  • v + 6 = 6 (result after dividing both sides by 2)
  • Divide both sides by 2 (to simplify the equation)
  • Subtract 6 from both sides (to isolate v)
  • v = 0 (final solution)

So the completed process is:

  1. Start with: \( 2(v+6) = 12 \)
  2. \( v + 6 = 6 \) (after dividing both sides by 2)
  3. Subtract 6 from both sides
  4. \( v = 0 \)

Final solution: \[ v = 0 \]