5. \( -2(c+4)=6 \)

To solve the equation \( -2(c+4)=6 \), first, divide both sides by -2: \[ c + 4 = -3 \] Next, subtract 4 from both sides: \[ c = -3 - 4 \] So, \[ c = -7 \] Now we have our solution! Solving linear equations like this can feel like a little puzzle; just remember to keep your balance—whatever you do to one side of the equation, you must do to the other! Another tip is to carefully distribute any constants to avoid mistakes. Many make the error of forgetting to apply the negative sign or messing up terms after distributing, which can lead to incorrect answers. Always double-check your steps!