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Mathematics, 28.11.2021 23:50 crimsonkiss

HURRY! 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?

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.

In step 1, she should have also distributed Negative StartFraction 3 over 8 EndFraction over –16d, to get 3 + 6 d + 2 d = 24.

In step 3, she should have added 3 to both sides of the equation to get Negative 14 d = 27.

In step 3, she should have first divided both sides by –14 to get 3 + d = 24 .

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