The work of a student to solve a set of equations is shown:
equation 1: m = 8 + 2n
equation 2: 4m = 4 + 4n
step 1: −4(m) = −4(8 + 2n) [equation 1 is multiplied by −4.]
4m = 4 + 4n [equation 2]
step 2: −4m = −32 − 8n [equation 1 in step 1 is simplified.]
4m = 4 + 4n [equation 2]
step 3: −4m + 4m = −32 − 8n + 4n [equations in step 2 are added.]
step 4: 0 = −32 − 4n
step 5: n = −8
in which step did the student first make an error?
a.) step 1
b.) step 2
c.) step 3
d.) step 4