Celia uses the steps below to solve the equation Negative StartFraction 3 over 8 EndFraction (negative 8 minus 16 d) + 2 d = 24. Step 1 Distribute Negative StartFraction 3 over 8 EndFraction over the expression in parentheses. 3 minus 16 d + 2 d = 24 Step 2 Simplify like terms. 3 minus 14 d = 24 Step 3 Subtract 3 from both sides of the equation. Negative 14 d = 21 Step 4 Divide both sides of the equation by –14. d = StartFraction 21 over negative 14 EndFraction = Negative three-halves = negative 1 and one-half Which corrects the error in the step in which Celia made the first error A..In step 1, she should have also distributed Negative StartFraction 3 over 8 EndFraction over 2d, to get 3 minus 16 d + (negative three-fourths d) = 24.
B...In step 1, she should have also distributed Negative StartFraction 3 over 8 EndFraction over –16d, to get 3 + 6 d + 2 d = 24.
C..In step 3, she should have added 3 to both sides of the equation to get Negative 14 d = 27.
D..In step 3, she should have first divided both sides by –14 to get 3 + d = 24 .