Lupe and Joe had to solve the following problem: \( 4(3 m+2)+4-4 m \). They had to explain the steps they took to solve the problem. Solve the expression. Which person used the correct method to solve the problem? Who made the error? What error did they make? Lupe's method \[ 4(3 m+2)+4-4 m \] Solved the equation by using the distributive property because I need to multiply 4 into the parentheses. I multiplied \( 4(3 \mathrm{~m})= \) is 12 m , I then rewrote my expression as \( 12 m+2+4-4 m \). The next step I did was I had to combine my like terms, because you can add or subtract if they have the same variable: \( 12 m-4 m=8 m \). I can also combine 4 and 2 because they are both constants so \( 4+2 \) is 6 . My answer is: \( 8 m+6 \) Joe's method \[ 4(3 m+2)+4-4 m \] I solved the equation by using the distributive property because the 4 gets multiplied to each term. I multiplied \( 4(3 \mathrm{~m})= \) is 12 m and then I multiplied \( 4 \times 2 \). which is 8 . I then rewrote my expression as: \( 12 m+8+4-4 m \). The next step I took was to combine my like terms because I need to simplify the expression. 12 m and \( -4 \mathrm{~m}=8 \mathrm{~m} \) and I can also combine my constants \( 8+4=12 \). My solution is \( 8 m+12 \) Show how you would solve: (show your steps) Which person used the correct method to solve the problem? Which person made the error? What was the error? Explain your reasoning!