\( \frac{1}{4}(20-4 a)=6-a \) all real numbers no solution 0 -1

To solve the equation \( \frac{1}{4}(20-4 a)=6-a \), start by multiplying both sides by 4 to eliminate the fraction: \( 20 - 4a = 24 - 4a \). Notice that if you simplify both sides, you end up with \( 20 = 24 \), which is impossible! This means the equation has no solutions. Now, a common mistake when dealing with equations like this is to forget to carefully track what happens when you multiply or distribute terms. Always simplify and double-check! If you ever find yourself with a false statement like \( 20 = 24 \), that’s your cue that no solutions exist.