Complete the process of solving the equation.

Fill in all missing terms and select all missing descriptions. Simplify any fractions.

3r–3=

12

3r=
Add 3 to both sides
Subtract 3 from both sides
Multiply both sides by 3
Divide both sides by 3
Apply the distributive property
r=
Add -3 to both sides
Subtract -3 from both sides
Multiply both sides by -3
Divide both sides by -3
Combine like terms

1 answer

To solve the equation \(-3r - 3 = -12\), we'll go through the steps systematically.

  1. Start with the equation:
    \(-3r - 3 = -12\)

  2. Add 3 to both sides:
    \(-3r - 3 + 3 = -12 + 3\)
    \(-3r = -9\)

  3. Divide both sides by -3:
    \(\frac{-3r}{-3} = \frac{-9}{-3}\)
    \(r = 3\)

To summarize, the steps taken were:

  • Start with \(-3r - 3 = -12\)
  • Add 3 to both sides to get \(-3r = -9\)
  • Divide both sides by -3 to find \(r = 3\)

Summary of Missing Terms and Descriptions:

  1. Missing Terms:

    • First step: "Add 3 to both sides"
    • Second step: "Divide both sides by -3"
  2. Simplified Result:

    • \(r = 3\)

You might include "Combine like terms" in the context only if there were more terms to combine, but in this case, the operations performed do not specifically require combining like terms as no additional terms beyond the operations were present.

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