To determine the right equation for the problem, let's break down Emma's movements.
- On her first turn, Emma rolled a number \( r \) and moved \( r + 8 \) spaces (since a card increased her movement by 8).
- On her second turn, she rolled 3 times her previous roll, so she moved \( 3r \), but her friend played a card that decreased her movement by 4 spaces, resulting in her moving \( 3r - 4 \) spaces.
Since it's given that she moved the same number of spaces on both turns, we can set up the equation:
\[ r + 8 = 3r - 4 \]
This means the correct equation to find \( r \) is:
\( r + 8 = 3r - 4 \)